# What is the LCM of 45 and 72?

The LCM (Least Common Multiple) of 45 and 72 is the smallest number which is exactly divisible by both the numbers 45 and 72.

## Answer: LCM of 45 and 72 is 360

The two methods that are used to find the LCM of 45 and 72 are given below.

## Explanation:

The two methods that we are using to find LCM(45, 72) are.

- LCM of 45 and 72 by Common Division Method
- LCM of 45 and 72 by Formula

### Method 1: LCM of 45 and 72 by Common Division Method

In this division method, we divide the numbers 45 and 72 simultaneously with prime numbers and stop the dividing process when we don't have a prime number to divide either of 45 and 72.

### Method 2: LCM of 45 and 72 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 45 and 72.

LCM (45, 72) = (45 × 72) / HCF (45, 72)

= (45 × 72) / 9

= 5 × 72

= 360

By using any of the above methods, the answer to LCM of 45 and 72 is the same.