# What is the LCM of 80 and 120?

The LCM (Least Common Multiple) of 80 and 120 is the smallest number which is exactly divisible by both the numbers 80 and 120.

## Answer: LCM of 80 and 120 is 240

The two methods that are used to find the LCM of 80 and 120 are given below.

## Explanation:

The two methods that we are using to find LCM (80, 120) are.

- LCM of 80 and 120 by Listing Multiples Method
- LCM of 80 and 120 by Formula

### Method 1: LCM of 80 and 120 by Listing Multiples Method

Look at the few multiples of 80 and 120.

- Multiples of 80: 80, 160,
, 320**240** - Multiples of 120: 120,
, 360__240__

Observe that 240 is the least common multiple of 80 and 120. So, LCM of 80 and 120 is 240.

### Method 2: LCM of 80 and 120 by Formula

We will use the formula of LCM (a, b):

LCM (a, b) = (a × b) / HCF (a, b)

HCF (a, b) is the highest common factor of a and b.

Use this formula to find the LCM of 80 and 120.

LCM (80, 120) = (80 × 120) / HCF (80, 120)

= (80 × 120) / 40

= 9600 / 40

= 240

By using any of the above methods, the answer to LCM of 80 and 120 is the same.