Least Common Multiple of 30 and 43

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 30 and 43 the smallest integer that is 1290 that is divisible by both numbers.

Least Common Multiple (LCM) of 30 and 43 is 1290.

LCM(30,43) = 1290

LCM of 30 and 43

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 30 and 43

LCM of 30 and 43 is 1290

Least common multiple can be found by multiplying the highest exponent prime factors of 30 and 43. First we will calculate the prime factors of 30 and 43.

Prime Factorization of 30


2 30
3 15
5 5
1

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

30 = 21×31×51

Prime Factorization of 43


43 43
1

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

43 = 431

Now multiplying the highest exponent prime factors to calculate the LCM of 30 and 43.

LCM(30,43) = 21×31×51×431
LCM(30,43) = 1290

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1, 43

Least Common Multiple of 30 and 43 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30 and 43, than apply into the LCM equation.

GCF(30,43) = 1
LCM(30,43) = ( 30 × 43) / 1
LCM(30,43) = 1290 / 1
LCM(30,43) = 1290

Properties of LCM 30 and 43

(i) The LCM of 43 and 30 is associative

LCM of 30 and 43 = LCM of 43 and 30

Related Least Common Multiples of 30

Related Least Common Multiples of 43

Frequently Asked Questions on LCM of 30 and 43

1. What is the LCM of 30 and 43?

Answer: LCM of 30 and 43 is 1290.

2. What are the Factors of 30?

Answer: Factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. There are 8 integers that are factors of 30. The greatest factor of 30 is 30.

3. What are the Factors of 43?

Answer: Factors of 43 are 1, 43. There are 2 integers that are factors of 43. The greatest factor of 43 is 43.

4. How to Find the LCM of 30 and 43?

Answer:

Least Common Multiple of 30 and 43 = 1290

Step 1: Find the prime factorization of 30

30 = 2 x 3 x 5

Step 2: Find the prime factorization of 43

43 = 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1290 = 2 x 3 x 5 x 43

Step 4: Therefore, the least common multiple of 30 and 43 is 1290.