Least Common Multiple of 29 and 38

How to find the Least Common Multiple of 29 and 38?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 29 and 38.

Follow the steps below, and let's calculate the LCM of 29 and 38.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 29 and 38:

Prime factors of 29

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

29 = 29¹

Prime factors of 38

The prime factors of 38 are 2 and 19. Prime factorization of 38 in exponential form is:

38 = 2¹x19¹

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

29¹, 2¹, 19¹

Step 3: Multiply these values together:

29¹x2¹x19¹=1102

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 29 and 38.

The Least Common Multiple of 29 and 38 is 1102.

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, 1160, 1189

Multiples of 38:

38, 76, 114, 152, 190, 228, 266, 304, 342, 380, 418, 456, 494, 532, 570, 608, 646, 684, 722, 760, 798, 836, 874, 912, 950, 988, 1026, 1064, 1102, 1140, 1178, 1216