Least Common Multiple  of 41 and 54 is 2214

How to find the Least Common Multiple of 41 and 54?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 41 and 54.

Follow the steps below, and let's calculate the LCM of 41 and 54.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 41 and 54:

Prime factors of 41

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

41 = 411

Prime factors of 54

The prime factors of 54 are 2, 3, 3 and 3. Prime factorization of 54 in exponential form is:

54 = 21x33


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

411, 21, 33


Step 3: Multiply these values together:

411x21x33=2214


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 41 and 54.

The Least Common Multiple of 41 and 54 is 2214.


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, 2296, 2337

Multiples of 54:

54, 108, 162, 216, 270, 324, 378, 432, 486, 540, 594, 648, 702, 756, 810, 864, 918, 972, 1026, 1080, 1134, 1188, 1242, 1296, 1350, 1404, 1458, 1512, 1566, 1620, 1674, 1728, 1782, 1836, 1890, 1944, 1998, 2052, 2106, 2160, 2214, 2268, 2322, 2376


Therefore,

LCM(41, 54) = 2214