Least Common Multiple  of 41 and 51 is 2091

How to find the Least Common Multiple of 41 and 51?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 41 and 51.

Follow the steps below, and let's calculate the LCM of 41 and 51.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 41 and 51:

Prime factors of 41

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

41 = 411

Prime factors of 51

The prime factors of 51 are 3 and 17. Prime factorization of 51 in exponential form is:

51 = 31x171


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

411, 31, 171


Step 3: Multiply these values together:

411x31x171=2091


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 41 and 51.

The Least Common Multiple of 41 and 51 is 2091.


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

Multiples of 51:

51, 102, 153, 204, 255, 306, 357, 408, 459, 510, 561, 612, 663, 714, 765, 816, 867, 918, 969, 1020, 1071, 1122, 1173, 1224, 1275, 1326, 1377, 1428, 1479, 1530, 1581, 1632, 1683, 1734, 1785, 1836, 1887, 1938, 1989, 2040, 2091, 2142, 2193, 2244


Therefore,

LCM(41, 51) = 2091