Least Common Multiple  of 31 and 44 is 1364

How to find the Least Common Multiple of 31 and 44?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 31 and 44.

Follow the steps below, and let's calculate the LCM of 31 and 44.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 31 and 44:

Prime factors of 31

The prime factors of 31 are 31. Prime factorization of 31 in exponential form is:

31 = 311

Prime factors of 44

The prime factors of 44 are 2, 2 and 11. Prime factorization of 44 in exponential form is:

44 = 22x111


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

311, 22, 111


Step 3: Multiply these values together:

311x22x111=1364


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 31 and 44.

The Least Common Multiple of 31 and 44 is 1364.


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 31:

31, 62, 93, 124, 155, 186, 217, 248, 279, 310, 341, 372, 403, 434, 465, 496, 527, 558, 589, 620, 651, 682, 713, 744, 775, 806, 837, 868, 899, 930, 961, 992, 1023, 1054, 1085, 1116, 1147, 1178, 1209, 1240, 1271, 1302, 1333, 1364, 1395, 1426, 1457

Multiples of 44:

44, 88, 132, 176, 220, 264, 308, 352, 396, 440, 484, 528, 572, 616, 660, 704, 748, 792, 836, 880, 924, 968, 1012, 1056, 1100, 1144, 1188, 1232, 1276, 1320, 1364, 1408, 1452, 1496


Therefore,

LCM(31, 44) = 1364