 ## 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

311, 22, 111

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