Least Common Multiple of 530 and 531

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 531 the smallest integer that is 281430 that is divisible by both numbers.

Least Common Multiple (LCM) of 530 and 531 is 281430.

LCM(530,531) = 281430

LCM of 530 and 531

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

LCM of:
and

Least Common Multiple of 530 and 531

LCM of 530 and 531 is 281430

Least common multiple can be found by multiplying the highest exponent prime factors of 530 and 531. First we will calculate the prime factors of 530 and 531.

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 531


3 531
3 177
59 59
1

Prime factors of 531 are 3,59. Prime factorization of 531 in exponential form is:

531 = 32×591

Now multiplying the highest exponent prime factors to calculate the LCM of 530 and 531.

LCM(530,531) = 21×32×51×531×591
LCM(530,531) = 281430

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 531

List of positive integer factors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Least Common Multiple of 530 and 531 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 531, than apply into the LCM equation.

GCF(530,531) = 1
LCM(530,531) = ( 530 × 531) / 1
LCM(530,531) = 281430 / 1
LCM(530,531) = 281430

Properties of LCM 530 and 531

(i) The LCM of 531 and 530 is associative

LCM of 530 and 531 = LCM of 531 and 530

Related Least Common Multiples of 530

Related Least Common Multiples of 531

Frequently Asked Questions on LCM of 530 and 531

1. What is the LCM of 530 and 531?

Answer: LCM of 530 and 531 is 281430.

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 531?

Answer: Factors of 531 are 1, 3, 9, 59, 177, 531. There are 6 integers that are factors of 531. The greatest factor of 531 is 531.

4. How to Find the LCM of 530 and 531?

Answer:

Least Common Multiple of 530 and 531 = 281430

Step 1: Find the prime factorization of 530

530 = 2 x 5 x 53

Step 2: Find the prime factorization of 531

531 = 3 x 3 x 59

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

LCM = 281430 = 2 x 3 x 3 x 5 x 53 x 59

Step 4: Therefore, the least common multiple of 530 and 531 is 281430.