# What is the LCM of 3 and 9?

LCM of 3 and 9 is the least number which is exactly divisible by both 3 and 9.

## Answer: LCM of 3 and 9 is 9

Lets see how to find the LCM of 3 and 9

## Explanation:

Least common multiple is the smallest number which the given number divides exactly.

We can find the LCM of the numbers in many ways the commonly used methods are listed below.

## Methods to Find LCM of 3 and 9

Let us use the following methods to find the LCM of 3 and 9

- Listing the Multiples
- Formula

### LCM of 3 and 9 by Listing Method

In this method, we list the first few multiples of 3 and 9 and identify the common multiples.

The least among the common multiples is the LCM of 3 and 9

### LCM of 3 and 9 by Common Division Method

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

### LCM of 3 and 9 by Formula

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

The Greatest Common Factor (GCF) of (3,9) = 3

Therefore

LCM of 3 and 9 = (3 × 9) / 3

= 27/3 = 9

LCM of 3 and 9 = 9

Irrespective of the method, the solution to our question LCM of 3 and 9 is the same.