Least Common Multiple of 528 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 528 and 530 the smallest integer that is 139920 that is divisible by both numbers.

Least Common Multiple (LCM) of 528 and 530 is 139920.

LCM(528,530) = 139920

LCM of 528 and 530

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

LCM of:
and

Least Common Multiple of 528 and 530

LCM of 528 and 530 is 139920

Least common multiple can be found by multiplying the highest exponent prime factors of 528 and 530. First we will calculate the prime factors of 528 and 530.

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 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 528 and 530.

LCM(528,530) = 24×31×51×111×531
LCM(528,530) = 139920

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 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 528 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 528 and 530, than apply into the LCM equation.

GCF(528,530) = 2
LCM(528,530) = ( 528 × 530) / 2
LCM(528,530) = 279840 / 2
LCM(528,530) = 139920

Properties of LCM 528 and 530

(i) The LCM of 530 and 528 is associative

LCM of 528 and 530 = LCM of 530 and 528

Related Least Common Multiples of 528

Related Least Common Multiples of 530

Frequently Asked Questions on LCM of 528 and 530

1. What is the LCM of 528 and 530?

Answer: LCM of 528 and 530 is 139920.

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 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 528 and 530?

Answer:

Least Common Multiple of 528 and 530 = 139920

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 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 = 139920 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 53

Step 4: Therefore, the least common multiple of 528 and 530 is 139920.