The LCM of 12 and 18 is 36. In this session, we will see step by step prime factorization method to find the LCM and HCF of 12 and 18.

## How to Find The LCM of 12 and 18?

LCM of 12 and 18 can be found by the Prime factorization method, division method, and listing the multiples of 12 and 18.

The prime factorization method is widely used by students for finding the LCM.

### The LCM of 12 and 18 By Prime Factorization Method

Step I Do Prime Factors

Factors of 12

12 = 2×2×3

12 = 2^{2}×3

Factors of 18

18 = 2×3×3

18 = 2×3^{2}

Step II Multiply The Highest Power Factor

2^{2}×3^{2} = 2×2×3×3 = 36

Step III Find LCM

LCM is the product of the Highest Power factors.

So, The LCM of 12 and 18 is 36.

## LCM of 12 and 18 By Lists of Multiples

Multiples of 12

12 = 12, 24, 36, 48, 60, 72, …

Multiples of 18

18 = 18, 36, 54, 72, …

Common Multiples = 36, 72, …

LCM is the least common multiple.

LCM of 12 and 18 from the least common multiple is 36.

## LCM of 12 and 18 By Division Method

Also, Check:

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