Least Common Multiple  of 5 and 12 is 60

How to find the Least Common Multiple of 5 and 12?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 5 and 12.

Follow the steps below, and let's calculate the LCM of 5 and 12.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 5 and 12:

Prime factors of 5

The prime factors of 5 are 5. Prime factorization of 5 in exponential form is:

5 = 51

Prime factors of 12

The prime factors of 12 are 2, 2 and 3. Prime factorization of 12 in exponential form is:

12 = 22x31


Step 2: Identify the highest power of each prime number from the above boxes:

51, 22, 31


Step 3: Multiply these values together:

51x22x31=60


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 5 and 12.

The Least Common Multiple of 5 and 12 is 60.


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

Multiples of 12:

12, 24, 36, 48, 60, 72, 84, 96


Therefore,

LCM(5, 12) = 60