 ## 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

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