# What is the LCM of 120 and 180?

The least common multiple of two numbers is the **“smallest non-zero common number”** which is a multiple of both the numbers

## Answer: LCM of 120 and 180 is 360

Let us see how to find the LCM of 120 and 180

## Explanation:

LCM can be calculated in different ways

### 1. Common division method

- The numbers 120 and 180 are divided simultaneously
- The factors are multiplied to calculate the LCM

Thus, LCM of 120 and 180 is 360

### 2. Listing common multiples:

- First few multiples of 120 and 180 will be listed
- The first repititive multiple which is the smallest and common to both 120 and 180 is the LCM

Multiples of 120: 120, 240, 360, 480

Multiples of 180: 180, 360, 720

Thus, the smallest multiple repating is 360