Least Common Multiple of 29 and 33

How to find the Least Common Multiple of 29 and 33?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 29 and 33.

Follow the steps below, and let's calculate the LCM of 29 and 33.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 29 and 33:

Prime factors of 29

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

29 = 29¹

Prime factors of 33

The prime factors of 33 are 3 and 11. Prime factorization of 33 in exponential form is:

33 = 3¹x11¹

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

29¹, 3¹, 11¹

Step 3: Multiply these values together:

29¹x3¹x11¹=957

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 29 and 33.

The Least Common Multiple of 29 and 33 is 957.

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 29:

29, 58, 87, 116, 145, 174, 203, 232, 261, 290, 319, 348, 377, 406, 435, 464, 493, 522, 551, 580, 609, 638, 667, 696, 725, 754, 783, 812, 841, 870, 899, 928, 957, 986, 1015, 1044

Multiples of 33:

33, 66, 99, 132, 165, 198, 231, 264, 297, 330, 363, 396, 429, 462, 495, 528, 561, 594, 627, 660, 693, 726, 759, 792, 825, 858, 891, 924, 957, 990, 1023, 1056