# What is LCM of 36 and 90?

The least number which is exactly divisible by both 36 and 90 is the LCM of 36 and 90.

## Answer: LCM of 36 and 90 is 180

Let us Find LCM of 36 and 90

## Explanation:

The least common multiple is the smallest number which is exactly divisible by both the given numbers. We can find the LCM of the numbers in many ways the commonly used methods are listed below.

- LCM of 36 and 90 by Listing Method
- LCM of 36 and 90 by Common Division Method

### Method 1: LCM of 36 and 90 by Listing Method

In this method, we list the first few multiples of 36 and 90 and identify the common multiples. The least among the common multiples is the LCM of 36 and 90

Multiples of 36 are 36, 72, 108, 144, ** 180**, 216, 252 , etc;,

Multiples of 90 are 90, ** 180**, 270, 360 etc;

Therefore, the least common multiple of 36 and 90 is 180.

### Method 2: LCM of 36 and 90 by Common Division Method

In this division method, we divide the numbers simultaneously with prime numbers and stop it when we don't have a prime number to divide the given numbers.

Irrespective of the method, the solution to our question LCM of 36 and 90 is the same as 180.