Least Common Multiple  of 9 and 17 is 153

How to find the Least Common Multiple of 9 and 17?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 9 and 17.

Follow the steps below, and let's calculate the LCM of 9 and 17.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 9 and 17:

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 17

The prime factors of 17 are 17. Prime factorization of 17 in exponential form is:

17 = 171


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

32, 171


Step 3: Multiply these values together:

32x171=153


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 9 and 17.

The Least Common Multiple of 9 and 17 is 153.


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, 180

Multiples of 17:

17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204


Therefore,

LCM(9, 17) = 153