When you list the multiples of two (or more) numbers, and find the same value in both lists, then that is a common multiple of those numbers.
For example, when you write down the multiples of 4 and 5, the common multiples are those that are found in both lists:
For example, when you write down the multiples of 4 and 5, the common multiples are those that are found in both lists:
| The multiples of 4 are: 4,8,12,16,20,24,28,32,36,40,44,... |
| The multiples of 5 are: 5,10,15,20,25,30,35,40,45,50,... |
Notice that 20 and 40 appear in both lists?
So, the common multiples of 4 and 5 are: 20, 40, (and 60, 80, etc ..., too)
Least Common Multiple (LCM)
It is the smallest of the common multiples.
In the last example, the smallest of the common multiples is 20 ...
| The multiples of 4 are: 4,8,12,16,20,24,28,32,36,40,44,... |
| The multiples of 5 are: 5,10,15,20,25,30,35,40,45,50,... |
... so the Least Common Multiple of 4 and 5 is 20.
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