Math calculator

LCM and GCF Calculator

Enter up to 12 integers separated by commas to see both shared-factor results and prime factorizations.

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No account. Formula and assumptions are shown below.

Calculator inputs

LCM and GCF details

Formula & disclaimer

GCF is found by repeated Euclidean division; LCM(a,b) = |a × b| ÷ GCF(a,b)

View assumptions

Formula reviewCalcs at Hand Editorial TeamVerified 31 August 2026 · automated checks included

Three useful checks, kept deliberately short.

What this result includes

The GCF is 6 and the LCM is 180.

A practical example

12, 18 and 30: Find shared prime factors · Keep the lowest shared powers for GCF · Keep the highest powers for LCM.

Common input mistake

LCM is the smallest positive integer divisible by every entered value.

GCF is found by repeated Euclidean division; LCM(a,b) = |a × b| ÷ GCF(a,b)

GCF is the largest positive integer that divides every entered value.

Keep in mind: Input is limited to 12 positive integers no greater than 1,000,000,000 each.

Produced byCalcs at Hand Editorial Team

Last formula check31 August 2026

Review methodKnown examples + boundary cases