Least Common Multiple of 9517 and 9524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9517 and 9524 the smallest integer that is 90639908 that is divisible by both numbers.

Least Common Multiple (LCM) of 9517 and 9524 is 90639908.

LCM(9517,9524) = 90639908

LCM of 9517 and 9524

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

LCM of:
and

Least Common Multiple of 9517 and 9524

LCM of 9517 and 9524 is 90639908

Least common multiple can be found by multiplying the highest exponent prime factors of 9517 and 9524. First we will calculate the prime factors of 9517 and 9524.

Prime Factorization of 9517


31 9517
307 307
1

Prime factors of 9517 are 31,307. Prime factorization of 9517 in exponential form is:

9517 = 311×3071

Prime Factorization of 9524


2 9524
2 4762
2381 2381
1

Prime factors of 9524 are 2,2381. Prime factorization of 9524 in exponential form is:

9524 = 22×23811

Now multiplying the highest exponent prime factors to calculate the LCM of 9517 and 9524.

LCM(9517,9524) = 22×311×3071×23811
LCM(9517,9524) = 90639908

Factors of 9517

List of positive integer factors of 9517 that divides 9517 without a remainder.

1, 31, 307, 9517

Factors of 9524

List of positive integer factors of 9524 that divides 9524 without a remainder.

1, 2, 4, 2381, 4762, 9524

Least Common Multiple of 9517 and 9524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9517 and 9524, than apply into the LCM equation.

GCF(9517,9524) = 1
LCM(9517,9524) = ( 9517 × 9524) / 1
LCM(9517,9524) = 90639908 / 1
LCM(9517,9524) = 90639908

Properties of LCM 9517 and 9524

(i) The LCM of 9524 and 9517 is associative

LCM of 9517 and 9524 = LCM of 9524 and 9517

Related Least Common Multiples of 9517

Related Least Common Multiples of 9524

Frequently Asked Questions on LCM of 9517 and 9524

1. What is the LCM of 9517 and 9524?

Answer: LCM of 9517 and 9524 is 90639908.

2. What are the Factors of 9517?

Answer: Factors of 9517 are 1, 31, 307, 9517. There are 4 integers that are factors of 9517. The greatest factor of 9517 is 9517.

3. What are the Factors of 9524?

Answer: Factors of 9524 are 1, 2, 4, 2381, 4762, 9524. There are 6 integers that are factors of 9524. The greatest factor of 9524 is 9524.

4. How to Find the LCM of 9517 and 9524?

Answer:

Least Common Multiple of 9517 and 9524 = 90639908

Step 1: Find the prime factorization of 9517

9517 = 31 x 307

Step 2: Find the prime factorization of 9524

9524 = 2 x 2 x 2381

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

LCM = 90639908 = 2 x 2 x 31 x 307 x 2381

Step 4: Therefore, the least common multiple of 9517 and 9524 is 90639908.