# What is the LCM of 12 and 45?

The LCM (Least Common Multiple) of 12 and 45 is the smallest number which is exactly divisible by both the numbers 12 and 45.

## Answer: LCM of 12 and 45 is 180

Here we are using two methods to find the LCM of 12 and 45.

**Explanation:**

The two methods that we are using to find LCM(12, 45) are shown below.

- LCM of 12 and 45 by Common Division Method
- LCM of 12 and 45 by using the Formula

### Method1: LCM of 12 and 45 by Common Division Method

In this division method, we divide the numbers 12 and 45 simultaneously with prime numbers and stop the dividing process when we don't have a prime number to divide either of 12 and 45.

### Method2: LCM of 12 and 45 by Formula

The formula of LCM of two numbers is LCM (a, b) = (a × b) / HCF (a, b)

The Highest common factor of (12, 45) = 3

Therefore, LCM of 12 and 45 = (12 × 45) / 3 = 540/3 = 180

Hence, the LCM of 12 and 45 = 180

Irrespective of all the two methods, the solution to our question "what is the LCM of 12 and 45" is the same.