Least Common Multiple  of 16 and 20 is 80

How to find the Least Common Multiple of 16 and 20?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 16 and 20.

Follow the steps below, and let's calculate the LCM of 16 and 20.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 16 and 20:

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

Prime factors of 20

The prime factors of 20 are 2, 2 and 5. Prime factorization of 20 in exponential form is:

20 = 22x51


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

24, 51


Step 3: Multiply these values together:

24x51=80


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 16 and 20.

The Least Common Multiple of 16 and 20 is 80.


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 16:

16, 32, 48, 64, 80, 96, 112, 128

Multiples of 20:

20, 40, 60, 80, 100, 120, 140


Therefore,

LCM(16, 20) = 80