How to find the Least Common Multiple of 6 and 10?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 6 and 10.
Follow the steps below, and let's calculate the LCM of 6 and 10.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 6 and 10:
Prime factors of 6
The prime factors of 6 are 2 and 3. Prime factorization of 6 in exponential form is:
6 = 21x31
Prime factors of 10
The prime factors of 10 are 2 and 5. Prime factorization of 10 in exponential form is:
10 = 21x51
Step 2: Identify the highest power of each prime number from the above boxes:
21, 31, 51
Step 3: Multiply these values together:
21x31x51=30
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 6 and 10.
The Least Common Multiple of 6 and 10 is 30.
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 6:
6, 12, 18, 24, 30, 36, 42, 48
Multiples of 10:
10, 20, 30, 40, 50, 60
Therefore,
LCM(6, 10) = 30