How to find the Least Common Multiple of 6 and 16?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 6 and 16.
Follow the steps below, and let's calculate the LCM of 6 and 16.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 6 and 16:
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 16
The prime factors of 16 are 2, 2, 2 and 2. Prime factorization of 16 in exponential form is:
16 = 24
Step 2: Identify the highest power of each prime number from the above boxes:
24, 31
Step 3: Multiply these values together:
24x31=48
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 6 and 16.
The Least Common Multiple of 6 and 16 is 48.
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
Multiples of 16:
16, 32, 48, 64, 80, 96
Therefore,
LCM(6, 16) = 48