Least Common Multiple of 9530 and 9537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9530 and 9537 the smallest integer that is 90887610 that is divisible by both numbers.

Least Common Multiple (LCM) of 9530 and 9537 is 90887610.

LCM(9530,9537) = 90887610

LCM of 9530 and 9537

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

LCM of:
and

Least Common Multiple of 9530 and 9537

LCM of 9530 and 9537 is 90887610

Least common multiple can be found by multiplying the highest exponent prime factors of 9530 and 9537. First we will calculate the prime factors of 9530 and 9537.

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

Prime Factorization of 9537


3 9537
11 3179
17 289
17 17
1

Prime factors of 9537 are 3, 11,17. Prime factorization of 9537 in exponential form is:

9537 = 31×111×172

Now multiplying the highest exponent prime factors to calculate the LCM of 9530 and 9537.

LCM(9530,9537) = 21×31×51×111×172×9531
LCM(9530,9537) = 90887610

Factors of 9530

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

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

Factors of 9537

List of positive integer factors of 9537 that divides 9537 without a remainder.

1, 3, 11, 17, 33, 51, 187, 289, 561, 867, 3179, 9537

Least Common Multiple of 9530 and 9537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9530 and 9537, than apply into the LCM equation.

GCF(9530,9537) = 1
LCM(9530,9537) = ( 9530 × 9537) / 1
LCM(9530,9537) = 90887610 / 1
LCM(9530,9537) = 90887610

Properties of LCM 9530 and 9537

(i) The LCM of 9537 and 9530 is associative

LCM of 9530 and 9537 = LCM of 9537 and 9530

Related Least Common Multiples of 9530

Related Least Common Multiples of 9537

Frequently Asked Questions on LCM of 9530 and 9537

1. What is the LCM of 9530 and 9537?

Answer: LCM of 9530 and 9537 is 90887610.

2. 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.

3. What are the Factors of 9537?

Answer: Factors of 9537 are 1, 3, 11, 17, 33, 51, 187, 289, 561, 867, 3179, 9537. There are 12 integers that are factors of 9537. The greatest factor of 9537 is 9537.

4. How to Find the LCM of 9530 and 9537?

Answer:

Least Common Multiple of 9530 and 9537 = 90887610

Step 1: Find the prime factorization of 9530

9530 = 2 x 5 x 953

Step 2: Find the prime factorization of 9537

9537 = 3 x 11 x 17 x 17

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

LCM = 90887610 = 2 x 3 x 5 x 11 x 17 x 17 x 953

Step 4: Therefore, the least common multiple of 9530 and 9537 is 90887610.