# What is the LCM of 6 and 24?

LCM or the least common multiple of two or more numbers is the smallest number which is exactly divisible by the given numbers.

## Answer: LCM of 6 and 24 is 24

LCM(6,24) is the least number which is exactly divisible by both the numbers. The frequently used methods to find LCM of any two numbers are listed below.

## Explanation:

Let us find the LCM using the following methods

- Listing the common multiples
- Common Division

### LCM of 6 and 24 by Listing Method

In this method, we list the first few multiples of 6 and 24 and identify the common multiples. The least among the common multiples is the LCM of 6 and 24

### LCM of 6 and 24 by Common Division Method

In this division method,

- we divide the numbers simultaneously with prime numbers and
- conclude the process, when we don't have a prime number to divide the given numbers.

LCM of 6 and 24 is 2 × 2 × 2 × 3 which is equal to 24

LCM(6,24) is unique and is equal to 24 always. It is independent of the method we opt for.