What is Least Common Multiples (LCM)

To start understanding on LCM, we first need to know what multiples are.

We first explore Multiples of 2. They are 2,4,6,8,10,12,14, ……….

Multiples of 3 are 3,6,9,12,15,18,21,24,27,30, ……….. .

Multiples of 4 are 4,8,12,16,20,24,28,32,36,40, ………

 

Here we look at finding the LCM of 2 numbers. Let us say that we need to find the LCM of 2 and 3

 

Multiples of 2 are 2,4,6,8,10,12,14,16,18,20,24 ……….

Multiples of 3 are 3,6,9,12,15,18,21,24,27,30, ………..

 

The next step is to identify the common multiples, i.e. similar numbers in the list of multiples of 2 and multiples of 3.

 

They are 6,12,18,24,…………

 

LCM is the smallest number in the common multiple list, i.e. 6

LCM

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