Least Common Multiple  of 41 and 48 is 1968

How to find the Least Common Multiple of 41 and 48?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 41 and 48.

Follow the steps below, and let's calculate the LCM of 41 and 48.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 41 and 48:

Prime factors of 41

The prime factors of 41 are 41. Prime factorization of 41 in exponential form is:

41 = 411

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


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

411, 24, 31


Step 3: Multiply these values together:

411x24x31=1968


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 41 and 48.

The Least Common Multiple of 41 and 48 is 1968.


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 41:

41, 82, 123, 164, 205, 246, 287, 328, 369, 410, 451, 492, 533, 574, 615, 656, 697, 738, 779, 820, 861, 902, 943, 984, 1025, 1066, 1107, 1148, 1189, 1230, 1271, 1312, 1353, 1394, 1435, 1476, 1517, 1558, 1599, 1640, 1681, 1722, 1763, 1804, 1845, 1886, 1927, 1968, 2009, 2050, 2091

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


Therefore,

LCM(41, 48) = 1968