Least Common Multiple of 29 and 37

How to find the Least Common Multiple of 29 and 37?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 29 and 37.

Follow the steps below, and let's calculate the LCM of 29 and 37.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 29 and 37:

Prime factors of 29

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

29 = 29¹

Prime factors of 37

The prime factors of 37 are 37. Prime factorization of 37 in exponential form is:

37 = 37¹

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

29¹, 37¹

Step 3: Multiply these values together:

29¹x37¹=1073

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 29 and 37.

The Least Common Multiple of 29 and 37 is 1073.

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

Multiples of 37:

37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, 444, 481, 518, 555, 592, 629, 666, 703, 740, 777, 814, 851, 888, 925, 962, 999, 1036, 1073, 1110, 1147, 1184