Least Common Multiple  of 41 and 52 is 2132

How to find the Least Common Multiple of 41 and 52?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 41 and 52.

Follow the steps below, and let's calculate the LCM of 41 and 52.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 41 and 52:

Prime factors of 41

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

41 = 411

Prime factors of 52

The prime factors of 52 are 2, 2 and 13. Prime factorization of 52 in exponential form is:

52 = 22x131


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

411, 22, 131


Step 3: Multiply these values together:

411x22x131=2132


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 41 and 52.

The Least Common Multiple of 41 and 52 is 2132.


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, 2132, 2173, 2214, 2255

Multiples of 52:

52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676, 728, 780, 832, 884, 936, 988, 1040, 1092, 1144, 1196, 1248, 1300, 1352, 1404, 1456, 1508, 1560, 1612, 1664, 1716, 1768, 1820, 1872, 1924, 1976, 2028, 2080, 2132, 2184, 2236, 2288


Therefore,

LCM(41, 52) = 2132