# What is the LCM of 9 and 18?

Least Common Multiple, or in short, LCM of two or more numbers is the smallest number which is divisible by the given numbers, without leaving any remainder.

## Answer: LCM of 9 and 18 is 18

LCM(9, 18) is the least number which is exactly divisible by both the numbers.

## Explanation:

We can find the LCM by the following methods:

- Listing the common multiple
__s__Method - Common Division Method

### Listing Method of Calculating LCM of 9 and 18

The process includes the following steps:

- List the first few multiples of 9 and 18
- Identify the common multiples

The smallest of all the common multiples is the LCM(9,18)

### LCM of 9 and 18 by Common Division Method

Common division means the division of the given numbers simultaneously with prime numbers. We stop the common division process when we don't have a prime number to divide the given numbers.

LCM of 9 and 18 is 2 × 3 × 3 which is equal to 18

The least common multiple of 9 and 18 is unique and it is invariant with the method we choose.