# What is the LCM of 32 and 45?

The LCM (Least Common Multiple) of 32 and 45 is the smallest number which is exactly divisible by both the numbers 32 and 45 without leaving any remainder.

## Answer: LCM of 32 and 45 is 1440

The two methods that are used to find the LCM of 32 and 45 are given below.

## Explanation:

The two methods that we are using to find LCM (32, 45) are:

- LCM of 32 and 45 by Common Division Method
- LCM of 32 and 45 by Formula

### Method 1: LCM of 32 and 45 by Common Division Method

In this division method, we divide the numbers 32 and 45 simultaneously with prime numbers and stop the dividing process when we don't have a prime number to divide either of 32 and 45.

So, LCM of 32 and 45 = 1440

### Method 2: LCM of 32 and 45 by Formula

The formula of LCM is

LCM (a,b) = (a × b) / GCF (a,b)

The Greatest Common Factor (GCF) of (32, 45) is 1. So, GCF (32, 45) = 1

So, the LCM of 32 and 45 by using the formula,

LCM (32, 45) = (32 × 45) / 1

= 32 × 45

= 1440

LCM of 32 and 45 = 1440

By using any of the above methods, the answer to LCM of 32 and 45 is the same.