Least Common Multiple  of 30 and 37 is 1110

How to find the Least Common Multiple of 30 and 37?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 30 and 37.

Follow the steps below, and let's calculate the LCM of 30 and 37.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 30 and 37:

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 37

The prime factors of 37 are 37. Prime factorization of 37 in exponential form is:

37 = 371


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

21, 31, 51, 371


Step 3: Multiply these values together:

21x31x51x371=1110


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 30 and 37.

The Least Common Multiple of 30 and 37 is 1110.


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

Multiples of 37:

37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, 444, 481, 518, 555, 592, 629, 666, 703, 740, 777, 814, 851, 888, 925, 962, 999, 1036, 1073, 1110, 1147, 1184, 1221


Therefore,

LCM(30, 37) = 1110