Least Common Multiple  of 41 and 53 is 2173

How to find the Least Common Multiple of 41 and 53?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 41 and 53.

Follow the steps below, and let's calculate the LCM of 41 and 53.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 41 and 53:

Prime factors of 41

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

41 = 411

Prime factors of 53

The prime factors of 53 are 53. Prime factorization of 53 in exponential form is:

53 = 531


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

411, 531


Step 3: Multiply these values together:

411x531=2173


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 41 and 53.

The Least Common Multiple of 41 and 53 is 2173.


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

Multiples of 53:

53, 106, 159, 212, 265, 318, 371, 424, 477, 530, 583, 636, 689, 742, 795, 848, 901, 954, 1007, 1060, 1113, 1166, 1219, 1272, 1325, 1378, 1431, 1484, 1537, 1590, 1643, 1696, 1749, 1802, 1855, 1908, 1961, 2014, 2067, 2120, 2173, 2226, 2279, 2332


Therefore,

LCM(41, 53) = 2173