Least Common Multiple  of 30 and 41 is 1230

How to find the Least Common Multiple of 30 and 41?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 30 and 41.

Follow the steps below, and let's calculate the LCM of 30 and 41.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 30 and 41:

Prime factors of 30

The prime factors of 30 are 2, 3 and 5. Prime factorization of 30 in exponential form is:

30 = 21x31x51

Prime factors of 41

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

41 = 411


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

21, 31, 51, 411


Step 3: Multiply these values together:

21x31x51x411=1230


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 30 and 41.

The Least Common Multiple of 30 and 41 is 1230.


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 30:

30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960, 990, 1020, 1050, 1080, 1110, 1140, 1170, 1200, 1230, 1260, 1290, 1320

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


Therefore,

LCM(30, 41) = 1230