Least Common Multiple of 525 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 525 and 531 the smallest integer that is 92925 that is divisible by both numbers.

Least Common Multiple (LCM) of 525 and 531 is 92925.

LCM(525,531) = 92925

LCM of 525 and 531

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

LCM of:
and

Least Common Multiple of 525 and 531

LCM of 525 and 531 is 92925

Least common multiple can be found by multiplying the highest exponent prime factors of 525 and 531. First we will calculate the prime factors of 525 and 531.

Prime Factorization of 525


3 525
5 175
5 35
7 7
1

Prime factors of 525 are 3, 5,7. Prime factorization of 525 in exponential form is:

525 = 31×52×71

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 525 and 531.

LCM(525,531) = 32×52×71×591
LCM(525,531) = 92925

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

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 525 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 525 and 531, than apply into the LCM equation.

GCF(525,531) = 3
LCM(525,531) = ( 525 × 531) / 3
LCM(525,531) = 278775 / 3
LCM(525,531) = 92925

Properties of LCM 525 and 531

(i) The LCM of 531 and 525 is associative

LCM of 525 and 531 = LCM of 531 and 525

Related Least Common Multiples of 525

Related Least Common Multiples of 531

Frequently Asked Questions on LCM of 525 and 531

1. What is the LCM of 525 and 531?

Answer: LCM of 525 and 531 is 92925.

2. What are the Factors of 525?

Answer: Factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525. There are 12 integers that are factors of 525. The greatest factor of 525 is 525.

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 525 and 531?

Answer:

Least Common Multiple of 525 and 531 = 92925

Step 1: Find the prime factorization of 525

525 = 3 x 5 x 5 x 7

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 = 92925 = 3 x 3 x 5 x 5 x 7 x 59

Step 4: Therefore, the least common multiple of 525 and 531 is 92925.