Least Common Multiple  of 3 and 9 is 9

How to find the Least Common Multiple of 3 and 9?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 3 and 9.

Follow the steps below, and let's calculate the LCM of 3 and 9.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 3 and 9:

Prime factors of 3

The prime factors of 3 are 3. Prime factorization of 3 in exponential form is:

3 = 31

Prime factors of 9

The prime factors of 9 are 3 and 3. Prime factorization of 9 in exponential form is:

9 = 32


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

32


Step 3: Multiply these values together:

32=9


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 3 and 9.

The Least Common Multiple of 3 and 9 is 9.


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 3:

3, 6, 9, 12, 15, 18

Multiples of 9:

9, 18, 27, 36


Therefore,

LCM(3, 9) = 9