# What is the LCM of 36 and 45?

The least common multiple, in short, LCM of 36 and 45 is the smallest number which is exactly divisible by both 36 and 45.

## Answer: LCM of 36 and 45 is 180

Lets see how to find the LCM of 36 and 45

## Explanation:

The smallest number which the given numbers divide exactly is called the least common multiple or LCM.

Find LCM of 36 and 45

## Methods to Find LCM of 36 and 45

Let us use the following methods to find the LCM of 36 and 45

- Listing the Multiples
- Common Division
- Formula

### LCM of 36 and 45 by Listing Method

In this method,

- we list the first few multiples of 36 and 45 and
- identify the common multiples.

The smallest of the common multiples of 36 and 45 is the LCM(36, 45)

### LCM of 36 and 45 by Common Division Method

In this division method,

- we divide the numbers simultaneously with prime numbers and
- stop it when we don't have a prime number to divide the given numbers.

### LCM of 36 and 45 by Formula

The formula of LCM is LCM (a,b) = (a × b) / GCF (a,b)

The Greatest Common Factor(GCF) of (36, 45) = 9

So, LCM of 36 and 45 = (36 × 45) / 9

= 1620/5 = 180

LCM(36, 45) = 180

The LCM of 36 and 45 remains the same, it does not vary with the method we choose.

### Therefore, LCM of 36 and 45 is 180

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