# What is the LCM of 45 and 120?

LCM of 45 and 120 is the lowest number which is exactly divisible by 45 and 120.

## Answer: LCM of 45 and 120 is 360.

We will learn two methods to find LCM of 45 and 120

## Explanation:

Least Common Multiple of 45 and 120 is the smallest number which is exactly divisible by the numbers 45 and 120

- LCM of 45 and 120 by Listing Common Multiples
- LCM of 45 and 120 by Common Division Method

### Method1: LCM of 45 and 120 by Listing Common Multiples

Look at the multiples of 45 and 120

Multiples of 45 = 45, 90,..., 315, 360, ...

Multiples of 120 = 120, 240, 360, ...

We can see, the lowest common multiple of 45 and 120 is 360.

So, LCM of 45 and 120 is 360.

### Method2: LCM of 45 and 120 by Formula

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

LCM (a, b) = (a × b) / HCF (a, b)

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

Use this formula to find the LCM of 45 and 120

LCM(45, 120) = (45 × 120) / HCF (45, 120)

LCM(45, 120) = 5400/15

LCM(45, 120) = 360