Least Common Multiple of 29 and 34

How to find the Least Common Multiple of 29 and 34?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 29 and 34.

Follow the steps below, and let's calculate the LCM of 29 and 34.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 29 and 34:

Prime factors of 29

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

29 = 29¹

Prime factors of 34

The prime factors of 34 are 2 and 17. Prime factorization of 34 in exponential form is:

34 = 2¹x17¹

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

29¹, 2¹, 17¹

Step 3: Multiply these values together:

29¹x2¹x17¹=986

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 29 and 34.

The Least Common Multiple of 29 and 34 is 986.

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

Multiples of 34:

34, 68, 102, 136, 170, 204, 238, 272, 306, 340, 374, 408, 442, 476, 510, 544, 578, 612, 646, 680, 714, 748, 782, 816, 850, 884, 918, 952, 986, 1020, 1054, 1088