ShadTools

LCM Calculator

Find the Least Common Multiple (LCM) of two or more integers.

Least Common Multiple (LCM)
72
12, 18, 24input numbers
3 integerscount

Find the Least Common Multiple (LCM) for any set of 2 or more integers.

Formula & Method

  • LCM Formula: LCM(a, b) = (|a × b|) ÷ GCD(a, b)
  • For 3+ Numbers: LCM(a, b, c) = LCM(LCM(a, b), c)

Worked Example

For numbers 12, 18, 24:

  • LCM(12, 18) = 36
  • LCM(36, 24) = 72

Frequently Asked Questions

What is the Least Common Multiple (LCM)?+

The Least Common Multiple (LCM), also called Lowest Common Multiple, is the smallest positive integer that is divisible by all numbers in a given set without leaving a remainder.

How is LCM calculated from GCD?+

For two numbers a and b, LCM(a, b) = (|a × b|) / GCD(a, b).

Can I calculate the LCM of 3 or more numbers?+

Yes. Enter multiple numbers separated by commas or spaces to compute their combined LCM.

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