 ## How to find the Least Common Multiple of 39 and 43?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 39 and 43.

Follow the steps below, and let's calculate the LCM of 39 and 43.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 39 and 43:

##### Prime factors of 39

The prime factors of 39 are 3 and 13. Prime factorization of 39 in exponential form is:

39 = 31x131

##### Prime factors of 43

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

43 = 431

31, 131, 431

31x131x431=1677

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 39 and 43.

The Least Common Multiple of 39 and 43 is 1677.

### 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 39:

39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507, 546, 585, 624, 663, 702, 741, 780, 819, 858, 897, 936, 975, 1014, 1053, 1092, 1131, 1170, 1209, 1248, 1287, 1326, 1365, 1404, 1443, 1482, 1521, 1560, 1599, 1638, 1677, 1716, 1755, 1794

#### 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, 1505, 1548, 1591, 1634, 1677, 1720, 1763, 1806

#### Therefore,

LCM(39, 43) = 1677