How to find the Least Common Multiple of 5 and 15?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 5 and 15.
Follow the steps below, and let's calculate the LCM of 5 and 15.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 5 and 15:
Prime factors of 5
The prime factors of 5 are 5. Prime factorization of 5 in exponential form is:
5 = 51
Prime factors of 15
The prime factors of 15 are 3 and 5. Prime factorization of 15 in exponential form is:
15 = 31x51
Step 2: Identify the highest power of each prime number from the above boxes:
51, 31
Step 3: Multiply these values together:
51x31=15
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 5 and 15.
The Least Common Multiple of 5 and 15 is 15.
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
Multiples of 15:
15, 30, 45, 60
Therefore,
LCM(5, 15) = 15