Least Common Multiple  of 48 and 59 is 2832

How to find the Least Common Multiple of 48 and 59?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 48 and 59.

Follow the steps below, and let's calculate the LCM of 48 and 59.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 48 and 59:

Prime factors of 48

The prime factors of 48 are 2, 2, 2, 2 and 3. Prime factorization of 48 in exponential form is:

48 = 24x31

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:

24, 31, 591


Step 3: Multiply these values together:

24x31x591=2832


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 48 and 59.

The Least Common Multiple of 48 and 59 is 2832.


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 48:

48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104, 1152, 1200, 1248, 1296, 1344, 1392, 1440, 1488, 1536, 1584, 1632, 1680, 1728, 1776, 1824, 1872, 1920, 1968, 2016, 2064, 2112, 2160, 2208, 2256, 2304, 2352, 2400, 2448, 2496, 2544, 2592, 2640, 2688, 2736, 2784, 2832, 2880, 2928, 2976

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, 2950, 3009


Therefore,

LCM(48, 59) = 2832