Least Common Multiple  of 29 and 41 is 1189

How to find the Least Common Multiple of 29 and 41?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 29 and 41.

Follow the steps below, and let's calculate the LCM of 29 and 41.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 29 and 41:

Prime factors of 29

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

29 = 291

Prime factors of 41

The prime factors of 41 are 41. Prime factorization of 41 in exponential form is:

41 = 411


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

291, 411


Step 3: Multiply these values together:

291x411=1189


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 29 and 41.

The Least Common Multiple of 29 and 41 is 1189.


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, 1247, 1276

Multiples of 41:

41, 82, 123, 164, 205, 246, 287, 328, 369, 410, 451, 492, 533, 574, 615, 656, 697, 738, 779, 820, 861, 902, 943, 984, 1025, 1066, 1107, 1148, 1189, 1230, 1271, 1312


Therefore,

LCM(29, 41) = 1189