Least Common Multiple of 529 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 529 and 531 the smallest integer that is 280899 that is divisible by both numbers.

Least Common Multiple (LCM) of 529 and 531 is 280899.

LCM(529,531) = 280899

LCM of 529 and 531

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

LCM of:
and

Least Common Multiple of 529 and 531

LCM of 529 and 531 is 280899

Least common multiple can be found by multiplying the highest exponent prime factors of 529 and 531. First we will calculate the prime factors of 529 and 531.

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 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 529 and 531.

LCM(529,531) = 32×232×591
LCM(529,531) = 280899

Factors of 529

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

1, 23, 529

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 529 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 529 and 531, than apply into the LCM equation.

GCF(529,531) = 1
LCM(529,531) = ( 529 × 531) / 1
LCM(529,531) = 280899 / 1
LCM(529,531) = 280899

Properties of LCM 529 and 531

(i) The LCM of 531 and 529 is associative

LCM of 529 and 531 = LCM of 531 and 529

Related Least Common Multiples of 529

Related Least Common Multiples of 531

Frequently Asked Questions on LCM of 529 and 531

1. What is the LCM of 529 and 531?

Answer: LCM of 529 and 531 is 280899.

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 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 529 and 531?

Answer:

Least Common Multiple of 529 and 531 = 280899

Step 1: Find the prime factorization of 529

529 = 23 x 23

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 = 280899 = 3 x 3 x 23 x 23 x 59

Step 4: Therefore, the least common multiple of 529 and 531 is 280899.