# What is the LCM of 64 and 96?

To find the LCM of 64 and 96, we need the least number which is exactly divisible by both 64 and 96.

## Answer: LCM of 64 and 96 is 192

The Least Common Multiple (LCM) of two numbers a and b is the smallest number which is divisible by a and b.

We will use the following methods to find the LCM of 64 and 96.

- LCM of 64 and 96 by Listing Method
- LCM of 64 and 96 by Common Division Method

## Explanation:

We can find the LCM of the numbers in the following two ways.

### Method 1: LCM of 64 and 96 by Listing Method

Follow the steps given below to find the LCM of 64 and 96.

**Step 1:** List the first few multiples of 64 and 96

**Step 2:** Identify the common multiples of 64 and 96

**Step 3:** LCM of 64 and 96 is equal to the least number among the common multiples of 64 and 96

- Multiples of 64: 64, 128,
, 256**192** - Multiples of 96: 96,
, 288__192__

Clearly, 192 is the least common multiple of 64 and 96.

### Method 2: LCM of 64 and 96 by Common Division Method

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

LCM of 64 and 96 is 192.

Observe that the solution to our question LCM of 64 and 96 is the same in both methods.