Least Common Multiple  of 8 and 14 is 56

How to find the Least Common Multiple of 8 and 14?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 8 and 14.

Follow the steps below, and let's calculate the LCM of 8 and 14.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 8 and 14:

Prime factors of 8

The prime factors of 8 are 2, 2 and 2. Prime factorization of 8 in exponential form is:

8 = 23

Prime factors of 14

The prime factors of 14 are 2 and 7. Prime factorization of 14 in exponential form is:

14 = 21x71


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

23, 71


Step 3: Multiply these values together:

23x71=56


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 8 and 14.

The Least Common Multiple of 8 and 14 is 56.


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 8:

8, 16, 24, 32, 40, 48, 56, 64, 72, 80

Multiples of 14:

14, 28, 42, 56, 70, 84, 98


Therefore,

LCM(8, 14) = 56