How to find the Least Common Multiple of 4 and 8?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 4 and 8.
Follow the steps below, and let's calculate the LCM of 4 and 8.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 4 and 8:
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 8
The prime factors of 8 are 2, 2 and 2. Prime factorization of 8 in exponential form is:
8 = 23
Step 2: Identify the highest power of each prime number from the above boxes:
23
Step 3: Multiply these values together:
23=8
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 4 and 8.
The Least Common Multiple of 4 and 8 is 8.
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
Multiples of 8:
8, 16, 24, 32
Therefore,
LCM(4, 8) = 8