Math · Number Theory

LCM Calculator

Find the Least Common Multiple of up to six numbers — the smallest number divisible by all of them — with prime factorizations and divisibility checks.

Definition: LCM(a, b) = |a × b| ÷ HCF(a, b).
By primes: for each prime present, take the greatest exponent across all inputs and multiply the results.

Up to 6 numbers

Compute the LCM of a whole set — great for fractions and scheduling.

Prime-based method

See how the highest exponent of every prime builds the LCM.

Divisibility proof

Every result is checked: the LCM must be divisible by each input.

Identity check

a × b = HCF × LCM verified automatically for the first pair.

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