Least Common Multiple  of 8 and 17 is 136

How to find the Least Common Multiple of 8 and 17?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 8 and 17.

Follow the steps below, and let's calculate the LCM of 8 and 17.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 8 and 17:

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 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:

23, 171


Step 3: Multiply these values together:

23x171=136


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 8 and 17.

The Least Common Multiple of 8 and 17 is 136.


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, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160

Multiples of 17:

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


Therefore,

LCM(8, 17) = 136