Least Common Multiple  of 41 and 45 is 1845

How to find the Least Common Multiple of 41 and 45?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 41 and 45.

Follow the steps below, and let's calculate the LCM of 41 and 45.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 41 and 45:

Prime factors of 41

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

41 = 411

Prime factors of 45

The prime factors of 45 are 3, 3 and 5. Prime factorization of 45 in exponential form is:

45 = 32x51


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

411, 32, 51


Step 3: Multiply these values together:

411x32x51=1845


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 41 and 45.

The Least Common Multiple of 41 and 45 is 1845.


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

Multiples of 45:

45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, 810, 855, 900, 945, 990, 1035, 1080, 1125, 1170, 1215, 1260, 1305, 1350, 1395, 1440, 1485, 1530, 1575, 1620, 1665, 1710, 1755, 1800, 1845, 1890, 1935, 1980


Therefore,

LCM(41, 45) = 1845