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# What is a "LCM"?

By Alexa Samuels on the 5th of March, 2013

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LCM stands for Lowest Common Multiple.

This is the SMALLEST number that will DIVIDE BY ALL the numbers in the question. The best way to find this is by listing all the the multiples of the various numbers in the question and then comparing the lists to find the smallest number present in all the lists.

By George Warren on the 5th of March, 2013

## 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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