Least Common Multiple  of 41 and 50 is 2050

How to find the Least Common Multiple of 41 and 50?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 41 and 50.

Follow the steps below, and let's calculate the LCM of 41 and 50.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 41 and 50:

Prime factors of 41

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

41 = 411

Prime factors of 50

The prime factors of 50 are 2, 5 and 5. Prime factorization of 50 in exponential form is:

50 = 21x52


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

411, 21, 52


Step 3: Multiply these values together:

411x21x52=2050


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 41 and 50.

The Least Common Multiple of 41 and 50 is 2050.


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

Multiples of 50:

50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, 1000, 1050, 1100, 1150, 1200, 1250, 1300, 1350, 1400, 1450, 1500, 1550, 1600, 1650, 1700, 1750, 1800, 1850, 1900, 1950, 2000, 2050, 2100, 2150, 2200


Therefore,

LCM(41, 50) = 2050