Least Common Multiple  of 4 and 11 is 44

How to find the Least Common Multiple of 4 and 11?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 4 and 11.

Follow the steps below, and let's calculate the LCM of 4 and 11.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 4 and 11:

Prime factors of 4

The prime factors of 4 are 2 and 2. Prime factorization of 4 in exponential form is:

4 = 22

Prime factors of 11

The prime factors of 11 are 11. Prime factorization of 11 in exponential form is:

11 = 111


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

22, 111


Step 3: Multiply these values together:

22x111=44


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 4 and 11.

The Least Common Multiple of 4 and 11 is 44.


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 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56

Multiples of 11:

11, 22, 33, 44, 55, 66, 77


Therefore,

LCM(4, 11) = 44