How to find the Least Common Multiple of 6 and 11?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 6 and 11.
Follow the steps below, and let's calculate the LCM of 6 and 11.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 6 and 11:
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 11
The prime factors of 11 are 11. Prime factorization of 11 in exponential form is:
11 = 111
Step 2: Identify the highest power of each prime number from the above boxes:
21, 31, 111
Step 3: Multiply these values together:
21x31x111=66
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 6 and 11.
The Least Common Multiple of 6 and 11 is 66.
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, 54, 60, 66, 72, 78, 84
Multiples of 11:
11, 22, 33, 44, 55, 66, 77, 88, 99
Therefore,
LCM(6, 11) = 66