Least Common Multiple of 9517 and 9523

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 9523 the smallest integer that is 90630391 that is divisible by both numbers.

Least Common Multiple (LCM) of 9517 and 9523 is 90630391.

LCM(9517,9523) = 90630391

LCM of 9517 and 9523

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

LCM of:
and

Least Common Multiple of 9517 and 9523

LCM of 9517 and 9523 is 90630391

Least common multiple can be found by multiplying the highest exponent prime factors of 9517 and 9523. First we will calculate the prime factors of 9517 and 9523.

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 9523


89 9523
107 107
1

Prime factors of 9523 are 89,107. Prime factorization of 9523 in exponential form is:

9523 = 891×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9517 and 9523.

LCM(9517,9523) = 311×891×1071×3071
LCM(9517,9523) = 90630391

Factors of 9517

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

1, 31, 307, 9517

Factors of 9523

List of positive integer factors of 9523 that divides 9523 without a remainder.

1, 89, 107, 9523

Least Common Multiple of 9517 and 9523 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 9523, than apply into the LCM equation.

GCF(9517,9523) = 1
LCM(9517,9523) = ( 9517 × 9523) / 1
LCM(9517,9523) = 90630391 / 1
LCM(9517,9523) = 90630391

Properties of LCM 9517 and 9523

(i) The LCM of 9523 and 9517 is associative

LCM of 9517 and 9523 = LCM of 9523 and 9517

Related Least Common Multiples of 9517

Related Least Common Multiples of 9523

Frequently Asked Questions on LCM of 9517 and 9523

1. What is the LCM of 9517 and 9523?

Answer: LCM of 9517 and 9523 is 90630391.

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 9523?

Answer: Factors of 9523 are 1, 89, 107, 9523. There are 4 integers that are factors of 9523. The greatest factor of 9523 is 9523.

4. How to Find the LCM of 9517 and 9523?

Answer:

Least Common Multiple of 9517 and 9523 = 90630391

Step 1: Find the prime factorization of 9517

9517 = 31 x 307

Step 2: Find the prime factorization of 9523

9523 = 89 x 107

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

LCM = 90630391 = 31 x 89 x 107 x 307

Step 4: Therefore, the least common multiple of 9517 and 9523 is 90630391.