How to find the Least Common Multiple of 5 and 16?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 5 and 16.
Follow the steps below, and let's calculate the LCM of 5 and 16.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 5 and 16:
Prime factors of 5
The prime factors of 5 are 5. Prime factorization of 5 in exponential form is:
5 = 51
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:
51, 24
Step 3: Multiply these values together:
51x24=80
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 5 and 16.
The Least Common Multiple of 5 and 16 is 80.
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 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95
Multiples of 16:
16, 32, 48, 64, 80, 96, 112, 128
Therefore,
LCM(5, 16) = 80