# What is the LCM of 36 and 72?

LCM of any two numbers is a number which is the smallest and also exactly divisible by both of them.

## Answer: LCM of (36 and 72) is 72

Lets see how to find the LCM of 36 and 72

## Explanation:

Least Common Multiple: Least Common Multiple is the smallest possible number which when divided by the given numbers 36 and 72 leaves a remainder 0, that means its perfectly divisible by them.

## Methods to Find the LCM of 36 and 72

Let us use the following methods to find the LCM of 36 and 72

### LCM of (36 and 72) by Formula Method

Statement: The product of any two given numbers 'a' and 'b' is always equal to the product of their LCM and GCF.

Formula: a×b=LCM(a,b) × GCF(a,b)

LCM(a,b)=(a×b)/GCF(a,b)

The Greatest Common Factor(GCF) of (36 and 72) = 36

Therefore

LCM of 36 and 72 = (36 × 72) / 36

= 72

LCM of 36 and 72 = 72

### LCM of (36 and 72) by Method of Listing Multiples

- The first few non-zero multiples of 12,15 and 18 are written down.
- Then common multiples of the two are encircled
- The one which will be the smallest of the common ones is the LCM

Both of the above methods get to the same answer.