Least Common Multiple  of 30 and 43 is 1290

How to find the Least Common Multiple of 30 and 43?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 30 and 43.

Follow the steps below, and let's calculate the LCM of 30 and 43.


Method 1 - Prime factorization

Step 1: Create a list of all the prime factors of the numbers 30 and 43:

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 43

The prime factors of 43 are 43. Prime factorization of 43 in exponential form is:

43 = 431


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

21, 31, 51, 431


Step 3: Multiply these values together:

21x31x51x431=1290


Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 30 and 43.

The Least Common Multiple of 30 and 43 is 1290.


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, 1350, 1380

Multiples of 43:

43, 86, 129, 172, 215, 258, 301, 344, 387, 430, 473, 516, 559, 602, 645, 688, 731, 774, 817, 860, 903, 946, 989, 1032, 1075, 1118, 1161, 1204, 1247, 1290, 1333, 1376, 1419


Therefore,

LCM(30, 43) = 1290