Least Common Multiple  of 8 and 16 is 16

How to find the Least Common Multiple of 8 and 16?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 8 and 16.

Follow the steps below, and let's calculate the LCM of 8 and 16.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 8 and 16:

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 16

The prime factors of 16 are 2, 2, 2 and 2. Prime factorization of 16 in exponential form is:

16 = 24


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

24


Step 3: Multiply these values together:

24=16


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 8 and 16.

The Least Common Multiple of 8 and 16 is 16.


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

Multiples of 16:

16, 32, 48, 64


Therefore,

LCM(8, 16) = 16