Least Common Multiple of 46 and 57

How to find the Least Common Multiple of 46 and 57?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 46 and 57.

Follow the steps below, and let's calculate the LCM of 46 and 57.

Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 46 and 57:

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 57

The prime factors of 57 are 3 and 19. Prime factorization of 57 in exponential form is:

57 = 3¹x19¹

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

2¹, 23¹, 3¹, 19¹

Step 3: Multiply these values together:

2¹x23¹x3¹x19¹=2622

Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 46 and 57.

The Least Common Multiple of 46 and 57 is 2622.

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

Multiples of 57:

57, 114, 171, 228, 285, 342, 399, 456, 513, 570, 627, 684, 741, 798, 855, 912, 969, 1026, 1083, 1140, 1197, 1254, 1311, 1368, 1425, 1482, 1539, 1596, 1653, 1710, 1767, 1824, 1881, 1938, 1995, 2052, 2109, 2166, 2223, 2280, 2337, 2394, 2451, 2508, 2565, 2622, 2679, 2736, 2793