How to find the Least Common Multiple of 4 and 17?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 4 and 17.
Follow the steps below, and let's calculate the LCM of 4 and 17.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 4 and 17:
Prime factors of 4
The prime factors of 4 are 2 and 2. Prime factorization of 4 in exponential form is:
4 = 22
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:
22, 171
Step 3: Multiply these values together:
22x171=68
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 4 and 17.
The Least Common Multiple of 4 and 17 is 68.
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 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80
Multiples of 17:
17, 34, 51, 68, 85, 102, 119
Therefore,
LCM(4, 17) = 68