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Laboratory calculations

Lab Calculators & Corrections

Choose the derived or corrected value your clinical question requires. The calculator performs the arithmetic; the matching Guide helps with interpretation, limitations and method differences.

Anion gapOsmolality / osmol gapCorrected sodiumCorrected calcium

Calculate now

Choose the value you need to calculate

Each calculator focuses on one arithmetic task. If your question is what the result means rather than how to calculate it, use the matching Guide below.

Lab-derived value

Na − (Cl + HCO₃)

→ Anion gap

Calculate the potassium-free anion gap from sodium, chloride and bicarbonate, with optional albumin adjustment.

Use when: You have the relevant electrolytes and need the arithmetic gap for comparison with the reporting laboratory range.

Calculate anion gap
Lab-derived value

Na + glucose + urea/BUN

→ Osmolality / osmol gap

Calculate serum osmolality from sodium, glucose and urea/BUN, with optional measured osmolality for an osmol gap.

Use when: You need calculated osmolality, or measured minus calculated osmolality as an osmol gap.

Calculate osmolality
Lab-derived value

Measured Na + glucose adjustment

→ Corrected sodium

Estimate sodium adjusted for hyperglycaemia using the Katz 1.6 or Hillier 2.4 correction factor.

Use when: A current source specifically asks for a glucose-adjusted sodium estimate in hyperglycaemia.

Calculate corrected sodium
Lab-derived value

Total calcium + albumin adjustment

→ Corrected calcium

Calculate the legacy simplified albumin-adjusted calcium estimate from measured total calcium and albumin.

Use when: You need to reproduce or interpret a legacy/external corrected-calcium value rather than replace ionised calcium measurement.

Calculate corrected calcium

Calculated and corrected values are estimates

These tools perform defined arithmetic from laboratory inputs. They do not replace the measured laboratory result, the reporting laboratory's reference information, serial trends, or the wider clinical assessment.

Calculate → understand

Need help interpreting the result?

Open the Guide that matches the calculation for interpretation, method differences and limitations.

How to Interpret the Anion Gap

Use the local laboratory range, albumin context, GOLDMARK and normal-gap patterns after the arithmetic has been calculated.

Read Guide

Calculated Serum Osmolality and Osmol Gap Explained

Understand measured versus calculated osmolality, formula differences, ethanol assumptions and why the osmol gap is a clue rather than a diagnosis.

Read Guide

Corrected Sodium in Hyperglycaemia

Understand what corrected sodium is trying to estimate, why Katz and Hillier factors differ and what the value cannot tell you on its own.

Read Guide

Corrected Calcium vs Ionised Calcium

Compare an albumin-adjusted estimate with directly measured ionised calcium and understand why the two values can disagree.

Read Guide

Safety & checking

Keep derived values labelled and in context

The equation can be correct while the interpretation is wrong. Keep the method, units, local reference information and measured values attached to the result.

1.Treating a calculated value as a measured result

Anion gap, calculated osmolality and corrected values are derived from laboratory inputs. Keep the calculation name attached to the result.

2.Using a universal cutoff

Reference intervals and interpretation can depend on the reporting laboratory, equation and clinical context. Use the relevant local or authoritative source.

3.Mixing units or formula conventions

Glucose, urea/BUN, calcium and albumin may be reported in different units. Match the calculator mode to the actual laboratory report before entering values.

4.Letting one derived number answer the whole clinical question

A gap or corrected estimate can support assessment, but it does not replace the measured data, trends, examination or the wider clinical picture.

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Lab calculator FAQs

Quick answers for choosing and interpreting a calculated or corrected laboratory value.

Which lab calculator should I use?

Choose the calculator that matches the derived or corrected value explicitly required by the clinical question or source you are using.

  • Use Anion Gap when you have sodium, chloride and bicarbonate/total CO₂ and need the arithmetic gap.
  • Use Serum Osmolality when you need calculated osmolality or, with a measured value, an osmol gap.
  • Use Corrected Sodium when a current source asks for a glucose-adjusted sodium estimate in hyperglycaemia.
  • Use Corrected Calcium when you specifically need to reproduce or interpret an albumin-adjusted calcium estimate.
Are calculated or corrected laboratory values direct measurements?

No. They are equation-based values derived from measured laboratory inputs and should remain labelled as calculated, corrected or estimated values.

  • A corrected sodium does not replace the measured sodium or serum osmolality.
  • A corrected calcium is not the same as directly measured ionised calcium.
  • An osmol gap depends on both the measured laboratory osmolality and the formula used for the calculated value.
Why can my result differ from another calculator or laboratory?

Different equations, unit conventions, correction factors and laboratory methods can produce different results.

  • Corrected sodium commonly uses either the Katz 1.6 or Hillier 2.4 factor.
  • Serum osmolality equations vary in their glucose, urea/BUN and ethanol terms.
  • Anion-gap reference intervals vary with the laboratory method and whether potassium is included.
Can MedMaths diagnose an acid-base disorder, toxic alcohol exposure or electrolyte disorder?

No. MedMaths performs the selected arithmetic and explains the calculation; it does not diagnose a condition or replace clinical assessment.

  • Use the calculated value with the measured laboratory data, clinical history, examination and the relevant diagnostic guidance.
  • If a result is unexpected or clinically important, verify the inputs, units, equation and source before acting on it.

Formula origins in this topic

The equations used in these calculators were developed by published researchers. These researchers are not affiliated with MedMaths and have not reviewed or endorsed this site.

Smithline-Gardner Calculated Serum Osmolality Formula

Equation attributed to: Neil Smithline and Kenneth D. Gardner Jr

Katz hyperglycaemia sodium correction (1.6)

Formula originally described by: Murray A. Katz

Hillier hyperglycaemia sodium correction (2.4 overall estimate)

Based on research published by: Teresa A. Hillier, Robert D. Abbott and Eugene J. Barrett

Authorship and review

Clear authorship, review timing, and limits of use.

Topic page authorGeorge Lambroglou, RNReviewed 26 August 2026
MedMaths topic pages explain calculation methods and help users choose a calculator. They support arithmetic checking and education; they do not prescribe, validate, or recommend a medicine dose.
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