# What is the LCM of 36 and 64?

The LCM (Least Common Multiple) of 36 and 64 is the least number which is exactly divisible by all the numbers 36 and 64.

## Answer: LCM of 36 and 64 is 576

We will explain two methods to find the LCM of 36 and 64.

## Explanation:

The two methods that we are using to find the LCM of 36 and 64 are shown below.

- Least Common Multiple of 36 and 64 by Listing Method
- Least Common Multiple of 36 and 64 by Common Division Method

### Method1: LCM of 36 and 64 by Listing Method

The multiples of 36 and 64 are:

Here, 576 is the least common multiple of 36 and 64 from this list. So, LCM (36, 64) = 576

### Method2: LCM of 36 and 64 by Common Division Method

Follow the steps mentioned below to find the LCM( 36, 64) by the common division method.

**Step 1:** Write the numbers 36 and 64 horizontally by separating them with a comma.

**Step 2:** Choose the smallest prime number that divides at least any one of them.

**Step 3: **Write the quotient in the next row just below the numbers. If any of the numbers are not divided, we will bring them down directly.

**Step 4:** We will stop it when we don't have a prime number to divide the given numbers.

**Step 5:** Least common multiple of 36 and 64 will be the product of primes by which we have divided.

The answer to LCM of 36 and 64 is the same, irrespective of the methods used.