Least Common Multiple  of 9 and 16 is 144

How to find the Least Common Multiple of 9 and 16?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 9 and 16.

Follow the steps below, and let's calculate the LCM of 9 and 16.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 9 and 16:

Prime factors of 9

The prime factors of 9 are 3 and 3. Prime factorization of 9 in exponential form is:

9 = 32

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:

32, 24


Step 3: Multiply these values together:

32x24=144


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 9 and 16.

The Least Common Multiple of 9 and 16 is 144.


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 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171

Multiples of 16:

16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192


Therefore,

LCM(9, 16) = 144