Least Common Multiple of 528 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 528 and 531 the smallest integer that is 93456 that is divisible by both numbers.

Least Common Multiple (LCM) of 528 and 531 is 93456.

LCM(528,531) = 93456

LCM of 528 and 531

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

LCM of:
and

Least Common Multiple of 528 and 531

LCM of 528 and 531 is 93456

Least common multiple can be found by multiplying the highest exponent prime factors of 528 and 531. First we will calculate the prime factors of 528 and 531.

Prime Factorization of 528


2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 528 are 2, 3,11. Prime factorization of 528 in exponential form is:

528 = 24×31×111

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 528 and 531.

LCM(528,531) = 24×32×111×591
LCM(528,531) = 93456

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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 528 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 528 and 531, than apply into the LCM equation.

GCF(528,531) = 3
LCM(528,531) = ( 528 × 531) / 3
LCM(528,531) = 280368 / 3
LCM(528,531) = 93456

Properties of LCM 528 and 531

(i) The LCM of 531 and 528 is associative

LCM of 528 and 531 = LCM of 531 and 528

Related Least Common Multiples of 528

Related Least Common Multiples of 531

Frequently Asked Questions on LCM of 528 and 531

1. What is the LCM of 528 and 531?

Answer: LCM of 528 and 531 is 93456.

2. What are the Factors of 528?

Answer: Factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528. There are 20 integers that are factors of 528. The greatest factor of 528 is 528.

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 528 and 531?

Answer:

Least Common Multiple of 528 and 531 = 93456

Step 1: Find the prime factorization of 528

528 = 2 x 2 x 2 x 2 x 3 x 11

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 = 93456 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 59

Step 4: Therefore, the least common multiple of 528 and 531 is 93456.