Least Common Multiple of 529 and 530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 529 and 530 the smallest integer that is 280370 that is divisible by both numbers.

Least Common Multiple (LCM) of 529 and 530 is 280370.

LCM(529,530) = 280370

LCM of 529 and 530

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

LCM of:
and

Least Common Multiple of 529 and 530

LCM of 529 and 530 is 280370

Least common multiple can be found by multiplying the highest exponent prime factors of 529 and 530. First we will calculate the prime factors of 529 and 530.

Prime Factorization of 529


23 529
23 23
1

Prime factors of 529 are 23. Prime factorization of 529 in exponential form is:

529 = 232

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

Now multiplying the highest exponent prime factors to calculate the LCM of 529 and 530.

LCM(529,530) = 21×51×232×531
LCM(529,530) = 280370

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1, 23, 529

Factors of 530

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

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

Least Common Multiple of 529 and 530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 529 and 530, than apply into the LCM equation.

GCF(529,530) = 1
LCM(529,530) = ( 529 × 530) / 1
LCM(529,530) = 280370 / 1
LCM(529,530) = 280370

Properties of LCM 529 and 530

(i) The LCM of 530 and 529 is associative

LCM of 529 and 530 = LCM of 530 and 529

Related Least Common Multiples of 529

Related Least Common Multiples of 530

Frequently Asked Questions on LCM of 529 and 530

1. What is the LCM of 529 and 530?

Answer: LCM of 529 and 530 is 280370.

2. What are the Factors of 529?

Answer: Factors of 529 are 1, 23, 529. There are 3 integers that are factors of 529. The greatest factor of 529 is 529.

3. 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.

4. How to Find the LCM of 529 and 530?

Answer:

Least Common Multiple of 529 and 530 = 280370

Step 1: Find the prime factorization of 529

529 = 23 x 23

Step 2: Find the prime factorization of 530

530 = 2 x 5 x 53

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

LCM = 280370 = 2 x 5 x 23 x 23 x 53

Step 4: Therefore, the least common multiple of 529 and 530 is 280370.