How to find the Least Common Multiple of 10 and 17?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 10 and 17.
Follow the steps below, and let's calculate the LCM of 10 and 17.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 10 and 17:
Prime factors of 10
The prime factors of 10 are 2 and 5. Prime factorization of 10 in exponential form is:
10 = 21x51
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:
21, 51, 171
Step 3: Multiply these values together:
21x51x171=170
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 10 and 17.
The Least Common Multiple of 10 and 17 is 170.
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 10:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200
Multiples of 17:
17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221
Therefore,
LCM(10, 17) = 170