Least Common Multiple  of 31 and 43 is 1333

How to find the Least Common Multiple of 31 and 43?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 31 and 43.

Follow the steps below, and let's calculate the LCM of 31 and 43.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 31 and 43:

Prime factors of 31

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

31 = 311

Prime factors of 43

The prime factors of 43 are 43. Prime factorization of 43 in exponential form is:

43 = 431


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

311, 431


Step 3: Multiply these values together:

311x431=1333


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 31 and 43.

The Least Common Multiple of 31 and 43 is 1333.


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

Multiples of 43:

43, 86, 129, 172, 215, 258, 301, 344, 387, 430, 473, 516, 559, 602, 645, 688, 731, 774, 817, 860, 903, 946, 989, 1032, 1075, 1118, 1161, 1204, 1247, 1290, 1333, 1376, 1419, 1462


Therefore,

LCM(31, 43) = 1333