 ## How to find the Least Common Multiple of 49 and 56?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 49 and 56.

Follow the steps below, and let's calculate the LCM of 49 and 56.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 49 and 56:

##### Prime factors of 49

The prime factors of 49 are 7 and 7. Prime factorization of 49 in exponential form is:

49 = 72

##### Prime factors of 56

The prime factors of 56 are 2, 2, 2 and 7. Prime factorization of 56 in exponential form is:

56 = 23x71

72, 23

72x23=392

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 49 and 56.

The Least Common Multiple of 49 and 56 is 392.

### 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 49:

49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539

#### Multiples of 56:

56, 112, 168, 224, 280, 336, 392, 448, 504, 560

#### Therefore,

LCM(49, 56) = 392