The smallest multiple of the common multiples is called

Find the LCM of 2 & 3

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

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

Common multiples of 2 & 3 are 6, 12, 18…..

So LCM of 2 & 3 is 6

Find the LCM of 3 & 5

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

Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50……

Common multiples of 3 & 5 are 15, 30…..

So LCM of 3 & 5 is 15

**lowest common multiple**or**least common multiple**or in short**LCM**. For finding LCM, we find the common multiples of given Numbers & then the least value among the common multiples is the LCM of the given numbers. We should note here that for finding LCM there must be at least two numbers. Calculating LCM of numbers plays a vital role in reducing or simplifying Fractions. Finding the LCM of two numbers can be explained by some examples:**Example 1:**Find the LCM of 2 & 3

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

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

Common multiples of 2 & 3 are 6, 12, 18…..

So LCM of 2 & 3 is 6

**Example 2:**Find the LCM of 3 & 5

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

Multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50……

Common multiples of 3 & 5 are 15, 30…..

So LCM of 3 & 5 is 15