How to find the Least Common Multiple of 8 and 20?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 8 and 20.
Follow the steps below, and let's calculate the LCM of 8 and 20.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 8 and 20:
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 20
The prime factors of 20 are 2, 2 and 5. Prime factorization of 20 in exponential form is:
20 = 22x51
Step 2: Identify the highest power of each prime number from the above boxes:
23, 51
Step 3: Multiply these values together:
23x51=40
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 8 and 20.
The Least Common Multiple of 8 and 20 is 40.
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
Multiples of 20:
20, 40, 60, 80, 100
Therefore,
LCM(8, 20) = 40