# What is the LCM of 2 and 9?

To find the LCM of 2 and 9, we need the least number which is exactly divisible by both 2 and 9.

## Answer: LCM of 2 and 9 is 18

Lets see how to find the LCM of 2 and 9

## Explanation:

Least Common Multiple of two numbers is the least number that divides the two numbers exactly.

Here are some commonly used methods.

## Methods to Find LCM of 2 and 9

Let us use the following methods to find the LCM of 2 and 9

- Formula
- Listing the Multiples

### LCM of 2 and 9 by Formula

The formula of LCM is LCM (a,b) = (a × b) / GCF (a,b)

The Greatest Common Factor of (2,9) = 1

So, GCF (2,9) = 1

By formula,

LCM (2,9) = (2 × 9) / GCF (2,9)

= (2 × 9) / 1

= 18/1

= 18

So, LCM of 2 and 9 = 18

### LCM of 2 and 9 by Listing Method

Let's see the first few multiples of 2 and 9 and identify the common multiples of 2 and 9.

The least among the common multiples is the LCM of 2 and 9

Clearly, 18 is the least common multiple of 2 and 9

So, irrespective of the method, the solution to our question LCM of 2 and 9 is the same.