Least Common Multiple of 9517 and 9521

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 9521 the smallest integer that is 90611357 that is divisible by both numbers.

Least Common Multiple (LCM) of 9517 and 9521 is 90611357.

LCM(9517,9521) = 90611357

LCM of 9517 and 9521

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

LCM of:
and

Least Common Multiple of 9517 and 9521

LCM of 9517 and 9521 is 90611357

Least common multiple can be found by multiplying the highest exponent prime factors of 9517 and 9521. First we will calculate the prime factors of 9517 and 9521.

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 9521


9521 9521
1

Prime factors of 9521 are 9521. Prime factorization of 9521 in exponential form is:

9521 = 95211

Now multiplying the highest exponent prime factors to calculate the LCM of 9517 and 9521.

LCM(9517,9521) = 311×3071×95211
LCM(9517,9521) = 90611357

Factors of 9517

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

1, 31, 307, 9517

Factors of 9521

List of positive integer factors of 9521 that divides 9521 without a remainder.

1, 9521

Least Common Multiple of 9517 and 9521 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 9521, than apply into the LCM equation.

GCF(9517,9521) = 1
LCM(9517,9521) = ( 9517 × 9521) / 1
LCM(9517,9521) = 90611357 / 1
LCM(9517,9521) = 90611357

Properties of LCM 9517 and 9521

(i) The LCM of 9521 and 9517 is associative

LCM of 9517 and 9521 = LCM of 9521 and 9517

Related Least Common Multiples of 9517

Related Least Common Multiples of 9521

Frequently Asked Questions on LCM of 9517 and 9521

1. What is the LCM of 9517 and 9521?

Answer: LCM of 9517 and 9521 is 90611357.

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 9521?

Answer: Factors of 9521 are 1, 9521. There are 2 integers that are factors of 9521. The greatest factor of 9521 is 9521.

4. How to Find the LCM of 9517 and 9521?

Answer:

Least Common Multiple of 9517 and 9521 = 90611357

Step 1: Find the prime factorization of 9517

9517 = 31 x 307

Step 2: Find the prime factorization of 9521

9521 = 9521

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

LCM = 90611357 = 31 x 307 x 9521

Step 4: Therefore, the least common multiple of 9517 and 9521 is 90611357.