Least Common Multiple  of 18 and 23 is 414

How to find the Least Common Multiple of 18 and 23?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 18 and 23.

Follow the steps below, and let's calculate the LCM of 18 and 23.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 18 and 23:

Prime factors of 18

The prime factors of 18 are 2, 3 and 3. Prime factorization of 18 in exponential form is:

18 = 21x32

Prime factors of 23

The prime factors of 23 are 23. Prime factorization of 23 in exponential form is:

23 = 231


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

21, 32, 231


Step 3: Multiply these values together:

21x32x231=414


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 18 and 23.

The Least Common Multiple of 18 and 23 is 414.


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 18:

18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360, 378, 396, 414, 432, 450, 468

Multiples of 23:

23, 46, 69, 92, 115, 138, 161, 184, 207, 230, 253, 276, 299, 322, 345, 368, 391, 414, 437, 460, 483


Therefore,

LCM(18, 23) = 414