Least Common Multiple of 9528 and 9530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9528 and 9530 the smallest integer that is 45400920 that is divisible by both numbers.

Least Common Multiple (LCM) of 9528 and 9530 is 45400920.

LCM(9528,9530) = 45400920

LCM of 9528 and 9530

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

LCM of:
and

Least Common Multiple of 9528 and 9530

LCM of 9528 and 9530 is 45400920

Least common multiple can be found by multiplying the highest exponent prime factors of 9528 and 9530. First we will calculate the prime factors of 9528 and 9530.

Prime Factorization of 9528


2 9528
2 4764
2 2382
3 1191
397 397
1

Prime factors of 9528 are 2, 3,397. Prime factorization of 9528 in exponential form is:

9528 = 23×31×3971

Prime Factorization of 9530


2 9530
5 4765
953 953
1

Prime factors of 9530 are 2, 5,953. Prime factorization of 9530 in exponential form is:

9530 = 21×51×9531

Now multiplying the highest exponent prime factors to calculate the LCM of 9528 and 9530.

LCM(9528,9530) = 23×31×51×3971×9531
LCM(9528,9530) = 45400920

Factors of 9528

List of positive integer factors of 9528 that divides 9528 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 397, 794, 1191, 1588, 2382, 3176, 4764, 9528

Factors of 9530

List of positive integer factors of 9530 that divides 9530 without a remainder.

1, 2, 5, 10, 953, 1906, 4765, 9530

Least Common Multiple of 9528 and 9530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9528 and 9530, than apply into the LCM equation.

GCF(9528,9530) = 2
LCM(9528,9530) = ( 9528 × 9530) / 2
LCM(9528,9530) = 90801840 / 2
LCM(9528,9530) = 45400920

Properties of LCM 9528 and 9530

(i) The LCM of 9530 and 9528 is associative

LCM of 9528 and 9530 = LCM of 9530 and 9528

Related Least Common Multiples of 9528

Related Least Common Multiples of 9530

Frequently Asked Questions on LCM of 9528 and 9530

1. What is the LCM of 9528 and 9530?

Answer: LCM of 9528 and 9530 is 45400920.

2. What are the Factors of 9528?

Answer: Factors of 9528 are 1, 2, 3, 4, 6, 8, 12, 24, 397, 794, 1191, 1588, 2382, 3176, 4764, 9528. There are 16 integers that are factors of 9528. The greatest factor of 9528 is 9528.

3. What are the Factors of 9530?

Answer: Factors of 9530 are 1, 2, 5, 10, 953, 1906, 4765, 9530. There are 8 integers that are factors of 9530. The greatest factor of 9530 is 9530.

4. How to Find the LCM of 9528 and 9530?

Answer:

Least Common Multiple of 9528 and 9530 = 45400920

Step 1: Find the prime factorization of 9528

9528 = 2 x 2 x 2 x 3 x 397

Step 2: Find the prime factorization of 9530

9530 = 2 x 5 x 953

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

LCM = 45400920 = 2 x 2 x 2 x 3 x 5 x 397 x 953

Step 4: Therefore, the least common multiple of 9528 and 9530 is 45400920.