Least common multiple (LCM) calculator. LCM is also known as least common denominator (LCD).

For two integers a and b, denoted LCM(a,b), the LCM is the smallest positive integer that is evenly divisible by both a and b. For example, LCM(2,3) = 6 and LCM(6,10) = 30. The LCM of two or more numbers is the smallest number that is evenly divisible by all numbers in the set.

Find the least common multiple number for numbers 8 and 12:

The multiples of 8 are:

8, 16, **24**, 32, 40, ...

The multiples of 12 are:

12, **24**, 36, 48, ...

So the least common multiple number is 24:

lcm = 24