# What is LCM of 120 and 90?

LCM of 120 and 90 is the least number which is exactly divisible by both 120 and 90

## Answer: LCM of 120 and 90 is 360

Let's explore the LCM of any two numbers in detail.

## Explanation:

The least common multiple is the smallest number which is exactly divisible by both the given numbers.

We will use the following two methods to find the LCM of 120 and 90.

- LCM of 120 and 90 by Listing Method
- LCM of 120 and 90 by the Common Division Method

### Method 1: Listing Method To Find LCM of 120 and 90

In this method, we list the first few multiples of 120 and 90 and identify the common multiples.

The least among the common multiples is the LCM of 120 and 90

Multiples of 120 are 120, 240, ** 360**, 480, 600, etc

Multiples of 90 are 90, 180, 270, ** 360**, 450, 540 etc

Therefore, the least common multiple of 120 and 90 is 360.

### Method 2: Common Division Method To Find LCM of 120 and 90

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

Irrespective of the process, the solution to LCM of 120 and 90 is the same.