# What is the LCM of 24 and 64?

LCM of 24 and 64 is the smallest number exactly divisible by 24 and 64

## Answer: LCM of 24 and 64 is 192.

Let us see how to find the LCM of 24 and 64

## Explanation:

We can find the LCM by the following two methods:

- by Division Method
- using Common Multiples

Least Common Multiple of 24 and 64 is the smallest number which would be exactly divisible by both 24 and 64 without any remainder.

Listed below are two methods to find the LCM of 24 and 64

Methods to Find LCM of 24 and 64

### Method 1: LCM of 24 and 64 by Division Method:

In this division method, we divide 24 and 64 simultaneously with prime numbers and stop it when we don't have a prime number to divide them further.

So, the least common multiple of 24 and 64 is given by 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 = 192. This means LCM(24, 64) = 192

### Method 2: LCM of 24 and 64 using Common Multiples:

Multiples of 24 = 24, 48, 72, 96, 120, 144, 168, 192,...

Multiples of 64 = 64, 128, 192,...

We can see clearly that 192 is the least common factor of 24 and 64

So, LCM of 24 and 64 = 192