LCM Calculator
Find the least common multiple.
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Find the least common multiple
The least common multiple is the smallest positive whole number that every value in your list divides into evenly. Type any set of whole numbers and it works the answer out from the greatest common divisor, since the product of two numbers equals their greatest common divisor times their least common multiple. It is the go-to when you need a common denominator for fractions or want to line up repeating cycles, such as events that recur on different schedules.
A quick example
The smallest number that 4, 6 and 8 all divide into is 24, so 24 is their least common multiple.
Frequently asked questions
How is the LCM worked out?
It uses the relationship between the greatest common divisor and the least common multiple, reducing the list two values at a time.
Where is the LCM useful?
It gives the lowest common denominator for adding fractions and the point where repeating cycles of different lengths next coincide.