## How to find the Least Common Multiple of 6 and 12?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 6 and 12.

Follow the steps below, and let's calculate the LCM of 6 and 12.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 6 and 12:

##### Prime factors of 6

The prime factors of **6** are **2 and 3**.
Prime factorization of **6** in exponential form is:

**6** = 2^{1}x3^{1}

##### Prime factors of 12

The prime factors of **12** are **2, 2 and 3**.
Prime factorization of **12** in exponential form is:

**12** = 2^{2}x3^{1}

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

2^{2}, 3^{1}

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

2^{2}x3^{1}=**12**

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 6 and 12.

The Least Common Multiple of **6 and 12** is **12**.

### 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 **6**:

6, 12, 18, 24, 30

#### Multiples of **12**:

12, 24, 36, 48

#### Therefore,

LCM(6, 12) = **12**