Least Common Multiple of 29 and 39

How to find the Least Common Multiple of 29 and 39?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 29 and 39.

Follow the steps below, and let's calculate the LCM of 29 and 39.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 29 and 39:

Prime factors of 29

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

29 = 29¹

Prime factors of 39

The prime factors of 39 are 3 and 13. Prime factorization of 39 in exponential form is:

39 = 3¹x13¹

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

29¹, 3¹, 13¹

Step 3: Multiply these values together:

29¹x3¹x13¹=1131

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 29 and 39.

The Least Common Multiple of 29 and 39 is 1131.

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, 1218

Multiples of 39:

39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507, 546, 585, 624, 663, 702, 741, 780, 819, 858, 897, 936, 975, 1014, 1053, 1092, 1131, 1170, 1209, 1248