ZovaTool

LCM Calculator

Result

LCM(12, 18, 24)
72
GCF
6

Prime factorisations

  • 12 = 2^2 × 3
  • 18 = 2 × 3^2
  • 24 = 2^3 × 3
  • LCM = 2^3 × 3^2 = 72

How to use the LCM Calculator

  1. Enter two or more numbers separated by commas or spaces.
  2. Result is the least common multiple of the whole list.
  3. Prime factorisation of each input and the LCM is shown for transparency.
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Least common multiple

The LCM of a set of integers is the smallest positive number divisible by every one of them. The classic use is finding a common denominator for adding fractions.

The fastest way to compute it from prime factorisations is to take the maximum exponent of every prime appearing in any number — exactly what this calculator does.