Least Common Multiple  of 18 and 29 is 522

How to find the Least Common Multiple of 18 and 29?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 18 and 29.

Follow the steps below, and let's calculate the LCM of 18 and 29.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 18 and 29:

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 29

The prime factors of 29 are 29. Prime factorization of 29 in exponential form is:

29 = 291


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

21, 32, 291


Step 3: Multiply these values together:

21x32x291=522


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 18 and 29.

The Least Common Multiple of 18 and 29 is 522.


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, 486, 504, 522, 540, 558, 576

Multiples of 29:

29, 58, 87, 116, 145, 174, 203, 232, 261, 290, 319, 348, 377, 406, 435, 464, 493, 522, 551, 580, 609


Therefore,

LCM(18, 29) = 522