Least Common Multiple of 46 and 59

How to find the Least Common Multiple of 46 and 59?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 46 and 59.

Follow the steps below, and let's calculate the LCM of 46 and 59.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 46 and 59:

Prime factors of 46

The prime factors of 46 are 2 and 23. Prime factorization of 46 in exponential form is:

46 = 2¹x23¹

Prime factors of 59

The prime factors of 59 are 59. Prime factorization of 59 in exponential form is:

59 = 59¹

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

2¹, 23¹, 59¹

Step 3: Multiply these values together:

2¹x23¹x59¹=2714

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 46 and 59.

The Least Common Multiple of 46 and 59 is 2714.

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 46:

46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644, 690, 736, 782, 828, 874, 920, 966, 1012, 1058, 1104, 1150, 1196, 1242, 1288, 1334, 1380, 1426, 1472, 1518, 1564, 1610, 1656, 1702, 1748, 1794, 1840, 1886, 1932, 1978, 2024, 2070, 2116, 2162, 2208, 2254, 2300, 2346, 2392, 2438, 2484, 2530, 2576, 2622, 2668, 2714, 2760, 2806, 2852

Multiples of 59:

59, 118, 177, 236, 295, 354, 413, 472, 531, 590, 649, 708, 767, 826, 885, 944, 1003, 1062, 1121, 1180, 1239, 1298, 1357, 1416, 1475, 1534, 1593, 1652, 1711, 1770, 1829, 1888, 1947, 2006, 2065, 2124, 2183, 2242, 2301, 2360, 2419, 2478, 2537, 2596, 2655, 2714, 2773, 2832, 2891