 ## How to find the Least Common Multiple of 34 and 43?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 34 and 43.

Follow the steps below, and let's calculate the LCM of 34 and 43.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 34 and 43:

##### Prime factors of 34

The prime factors of 34 are 2 and 17. Prime factorization of 34 in exponential form is:

34 = 21x171

##### Prime factors of 43

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

43 = 431

21, 171, 431

21x171x431=1462

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 34 and 43.

The Least Common Multiple of 34 and 43 is 1462.

### 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 34:

34, 68, 102, 136, 170, 204, 238, 272, 306, 340, 374, 408, 442, 476, 510, 544, 578, 612, 646, 680, 714, 748, 782, 816, 850, 884, 918, 952, 986, 1020, 1054, 1088, 1122, 1156, 1190, 1224, 1258, 1292, 1326, 1360, 1394, 1428, 1462, 1496, 1530, 1564

#### 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

#### Therefore,

LCM(34, 43) = 1462