Least Common Multiple of 34 and 43

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

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

2¹, 17¹, 43¹

Step 3: Multiply these values together:

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