Find the least common multiple (LCM)
Multiples of a number simply put are its times table. For example:
the multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72… etc.
Each number has an infinite number of multiples.
Common multiples of two numbers, are numbers that appear in both their times tables.
For example, if the multiples of 8 are:
8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96… etc.
And the multiples of 6 are:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72... etc.
Then common multiples of 6 and 8 include 24, 48 and 72.
The lowest (or least) common multiple of two numbers is exactly what it sounds like, the first multiple that appears in both their times tables, the smallest, or lowest, one.
In this example, the lowest common multiple (LCM) of 6 and 8 is 24.
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