# What is the LCM of 72 and 120?

LCM of 72 and 120 is the least number which is exactly divisible by both 72 and 120.

## Answer: LCM of 72 and 120 is 300

Let us see the explanation on how to find the LCM (72,180)

## Explanation:

Least Common Multiple is the smallest number which is exactly divisible by 72 and 120.

## Methods to Find LCM of 72 and 120

We will find LCM (72,180) by 2 commonly used methods.

- Common Division
- Listing the common Multiples Method

### Method 1: LCM of 72 and 120 by Common Division Method

In this division method, we divide the 72 and 120 simultaneously with prime numbers and stop it when we don't have a prime number to divide both 72 and 120

LCM(72, 120) = 2 × 2 × 2 × 3 × 3 × 5 = 360

### Method 2: LCM of 72 and 120 by Listing the common Multiples Method

We list the first few multiples of 72 and 120.

Multiples of 72 = 72, 144, 216, 288, **360**, 432, 504

Multiples of 120 = 120, 240, **360**, 480, 600

360 is the smallest number common to multiples of 72 and 120.

### Therefore, LCM of 72 and 120 is 360

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