Manuals/calci/LCM

LCM(a,b,c...,n)

  • LCM is the least common multiple (also known as lowest common multiple or smallest common multiple or least common denominator (LCD) of a set of integers a,b,c,...,n.
  • LCM is the smallest integer that is divisible by each of them.
  • The argument can be one or many integers.

For example,

What is the LCM of 2 and 5?

Multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, ...

and the multiples of 5 are: 5, 10, 15, 20, 25, 30, ...

Common multiples of 2 and 5 are simply the numbers that are in both lists: 10, 30, ....

So, from this list of the first few common multiples of the numbers 2 and 5, their least common multiple is 10.

Examples

Give calci examples and different cases here.

See Also

References