Least Common Multiple  of 20 and 25 is 100

How to find the Least Common Multiple of 20 and 25?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 20 and 25.

Follow the steps below, and let's calculate the LCM of 20 and 25.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 20 and 25:

Prime factors of 20

The prime factors of 20 are 2, 2 and 5. Prime factorization of 20 in exponential form is:

20 = 22x51

Prime factors of 25

The prime factors of 25 are 5 and 5. Prime factorization of 25 in exponential form is:

25 = 52


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

22, 52


Step 3: Multiply these values together:

22x52=100


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 20 and 25.

The Least Common Multiple of 20 and 25 is 100.


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 20:

20, 40, 60, 80, 100, 120, 140, 160

Multiples of 25:

25, 50, 75, 100, 125, 150, 175


Therefore,

LCM(20, 25) = 100