Least Common Multiple  of 31 and 37 is 1147

How to find the Least Common Multiple of 31 and 37?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 31 and 37.

Follow the steps below, and let's calculate the LCM of 31 and 37.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 31 and 37:

Prime factors of 31

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

31 = 311

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:

311, 371


Step 3: Multiply these values together:

311x371=1147


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 31 and 37.

The Least Common Multiple of 31 and 37 is 1147.


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

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, 1221, 1258


Therefore,

LCM(31, 37) = 1147