Least Common Multiple  of 10 and 12 is 60

How to find the Least Common Multiple of 10 and 12?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 10 and 12.

Follow the steps below, and let's calculate the LCM of 10 and 12.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 10 and 12:

Prime factors of 10

The prime factors of 10 are 2 and 5. Prime factorization of 10 in exponential form is:

10 = 21x51

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:

22, 51, 31


Step 3: Multiply these values together:

22x51x31=60


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 10 and 12.

The Least Common Multiple of 10 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 10:

10, 20, 30, 40, 50, 60, 70, 80, 90

Multiples of 12:

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


Therefore,

LCM(10, 12) = 60