## How to find the Least Common Multiple of 3 and 9?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 3 and 9.

Follow the steps below, and let's calculate the LCM of 3 and 9.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 3 and 9:

##### Prime factors of 3

The prime factors of **3** are **3**.
Prime factorization of **3** in exponential form is:

**3** = 3^{1}

##### Prime factors of 9

The prime factors of **9** are **3 and 3**.
Prime factorization of **9** in exponential form is:

**9** = 3^{2}

#### Step 2: Identify the highest power of each prime number from the above boxes:

3^{2}

#### Step 3: Multiply these values together:

3^{2}=**9**

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 3 and 9.

The Least Common Multiple of **3 and 9** is **9**.

### Method 2 - List of Multiples

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

#### Multiples of **3**:

3, 6, 9, 12, 15, 18

#### Multiples of **9**:

9, 18, 27, 36

#### Therefore,

LCM(3, 9) = **9**