Least Common Multiple of 530 and 538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 530 and 538 the smallest integer that is 142570 that is divisible by both numbers.

Least Common Multiple (LCM) of 530 and 538 is 142570.

LCM(530,538) = 142570

LCM of 530 and 538

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

LCM of:
and

Least Common Multiple of 530 and 538

LCM of 530 and 538 is 142570

Least common multiple can be found by multiplying the highest exponent prime factors of 530 and 538. First we will calculate the prime factors of 530 and 538.

Prime Factorization of 530


2 530
5 265
53 53
1

Prime factors of 530 are 2, 5,53. Prime factorization of 530 in exponential form is:

530 = 21×51×531

Prime Factorization of 538


2 538
269 269
1

Prime factors of 538 are 2,269. Prime factorization of 538 in exponential form is:

538 = 21×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 530 and 538.

LCM(530,538) = 21×51×531×2691
LCM(530,538) = 142570

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Least Common Multiple of 530 and 538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 530 and 538, than apply into the LCM equation.

GCF(530,538) = 2
LCM(530,538) = ( 530 × 538) / 2
LCM(530,538) = 285140 / 2
LCM(530,538) = 142570

Properties of LCM 530 and 538

(i) The LCM of 538 and 530 is associative

LCM of 530 and 538 = LCM of 538 and 530

Related Least Common Multiples of 530

Related Least Common Multiples of 538

Frequently Asked Questions on LCM of 530 and 538

1. What is the LCM of 530 and 538?

Answer: LCM of 530 and 538 is 142570.

2. What are the Factors of 530?

Answer: Factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530. There are 8 integers that are factors of 530. The greatest factor of 530 is 530.

3. What are the Factors of 538?

Answer: Factors of 538 are 1, 2, 269, 538. There are 4 integers that are factors of 538. The greatest factor of 538 is 538.

4. How to Find the LCM of 530 and 538?

Answer:

Least Common Multiple of 530 and 538 = 142570

Step 1: Find the prime factorization of 530

530 = 2 x 5 x 53

Step 2: Find the prime factorization of 538

538 = 2 x 269

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

LCM = 142570 = 2 x 5 x 53 x 269

Step 4: Therefore, the least common multiple of 530 and 538 is 142570.