Manuals/calci/LCM

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LCM


  • It is called as The least common multiple / The lowest common multiple / Smallest common multiple / Least common denominator (LCD) of two integers a and b.
  • it is the smallest integer that is divisible by each of them.

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.