Least Common Multiple of 9517 and 9525

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 9525 the smallest integer that is 90649425 that is divisible by both numbers.

Least Common Multiple (LCM) of 9517 and 9525 is 90649425.

LCM(9517,9525) = 90649425

LCM of 9517 and 9525

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

LCM of:
and

Least Common Multiple of 9517 and 9525

LCM of 9517 and 9525 is 90649425

Least common multiple can be found by multiplying the highest exponent prime factors of 9517 and 9525. First we will calculate the prime factors of 9517 and 9525.

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 9525


3 9525
5 3175
5 635
127 127
1

Prime factors of 9525 are 3, 5,127. Prime factorization of 9525 in exponential form is:

9525 = 31×52×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 9517 and 9525.

LCM(9517,9525) = 31×52×311×1271×3071
LCM(9517,9525) = 90649425

Factors of 9517

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

1, 31, 307, 9517

Factors of 9525

List of positive integer factors of 9525 that divides 9525 without a remainder.

1, 3, 5, 15, 25, 75, 127, 381, 635, 1905, 3175, 9525

Least Common Multiple of 9517 and 9525 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 9525, than apply into the LCM equation.

GCF(9517,9525) = 1
LCM(9517,9525) = ( 9517 × 9525) / 1
LCM(9517,9525) = 90649425 / 1
LCM(9517,9525) = 90649425

Properties of LCM 9517 and 9525

(i) The LCM of 9525 and 9517 is associative

LCM of 9517 and 9525 = LCM of 9525 and 9517

Related Least Common Multiples of 9517

Related Least Common Multiples of 9525

Frequently Asked Questions on LCM of 9517 and 9525

1. What is the LCM of 9517 and 9525?

Answer: LCM of 9517 and 9525 is 90649425.

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 9525?

Answer: Factors of 9525 are 1, 3, 5, 15, 25, 75, 127, 381, 635, 1905, 3175, 9525. There are 12 integers that are factors of 9525. The greatest factor of 9525 is 9525.

4. How to Find the LCM of 9517 and 9525?

Answer:

Least Common Multiple of 9517 and 9525 = 90649425

Step 1: Find the prime factorization of 9517

9517 = 31 x 307

Step 2: Find the prime factorization of 9525

9525 = 3 x 5 x 5 x 127

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

LCM = 90649425 = 3 x 5 x 5 x 31 x 127 x 307

Step 4: Therefore, the least common multiple of 9517 and 9525 is 90649425.