 ## How to find the Least Common Multiple of 34 and 47?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 34 and 47.

Follow the steps below, and let's calculate the LCM of 34 and 47.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 34 and 47:

##### 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 47

The prime factors of 47 are 47. Prime factorization of 47 in exponential form is:

47 = 471

21, 171, 471

21x171x471=1598

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 34 and 47.

The Least Common Multiple of 34 and 47 is 1598.

### 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, 1598, 1632, 1666, 1700

#### Multiples of 47:

47, 94, 141, 188, 235, 282, 329, 376, 423, 470, 517, 564, 611, 658, 705, 752, 799, 846, 893, 940, 987, 1034, 1081, 1128, 1175, 1222, 1269, 1316, 1363, 1410, 1457, 1504, 1551, 1598, 1645, 1692, 1739

#### Therefore,

LCM(34, 47) = 1598