Least Common Multiple  of 5 and 10 is 10

How to find the Least Common Multiple of 5 and 10?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 5 and 10.

Follow the steps below, and let's calculate the LCM of 5 and 10.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 5 and 10:

Prime factors of 5

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

5 = 51

Prime factors of 10

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

10 = 21x51


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

51, 21


Step 3: Multiply these values together:

51x21=10


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 5 and 10.

The Least Common Multiple of 5 and 10 is 10.


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

Multiples of 10:

10, 20, 30, 40


Therefore,

LCM(5, 10) = 10