Least Common Multiple of 29 and 36

How to find the Least Common Multiple of 29 and 36?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 29 and 36.

Follow the steps below, and let's calculate the LCM of 29 and 36.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 29 and 36:

Prime factors of 29

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

29 = 29¹

Prime factors of 36

The prime factors of 36 are 2, 2, 3 and 3. Prime factorization of 36 in exponential form is:

36 = 2²x3²

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

29¹, 2², 3²

Step 3: Multiply these values together:

29¹x2²x3²=1044

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 29 and 36.

The Least Common Multiple of 29 and 36 is 1044.

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, 1073, 1102, 1131

Multiples of 36:

36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792, 828, 864, 900, 936, 972, 1008, 1044, 1080, 1116, 1152