Least Common Multiple  of 5 and 17 is 85

How to find the Least Common Multiple of 5 and 17?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 5 and 17.

Follow the steps below, and let's calculate the LCM of 5 and 17.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 5 and 17:

Prime factors of 5

The prime factors of 5 are 5. Prime factorization of 5 in exponential form is:

5 = 51

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:

51, 171


Step 3: Multiply these values together:

51x171=85


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 5 and 17.

The Least Common Multiple of 5 and 17 is 85.


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 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

Multiples of 17:

17, 34, 51, 68, 85, 102, 119, 136


Therefore,

LCM(5, 17) = 85