Least Common Multiple of 9517 and 9522

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 9522 the smallest integer that is 90620874 that is divisible by both numbers.

Least Common Multiple (LCM) of 9517 and 9522 is 90620874.

LCM(9517,9522) = 90620874

LCM of 9517 and 9522

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

LCM of:
and

Least Common Multiple of 9517 and 9522

LCM of 9517 and 9522 is 90620874

Least common multiple can be found by multiplying the highest exponent prime factors of 9517 and 9522. First we will calculate the prime factors of 9517 and 9522.

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 9522


2 9522
3 4761
3 1587
23 529
23 23
1

Prime factors of 9522 are 2, 3,23. Prime factorization of 9522 in exponential form is:

9522 = 21×32×232

Now multiplying the highest exponent prime factors to calculate the LCM of 9517 and 9522.

LCM(9517,9522) = 21×32×232×311×3071
LCM(9517,9522) = 90620874

Factors of 9517

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

1, 31, 307, 9517

Factors of 9522

List of positive integer factors of 9522 that divides 9522 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761, 9522

Least Common Multiple of 9517 and 9522 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 9522, than apply into the LCM equation.

GCF(9517,9522) = 1
LCM(9517,9522) = ( 9517 × 9522) / 1
LCM(9517,9522) = 90620874 / 1
LCM(9517,9522) = 90620874

Properties of LCM 9517 and 9522

(i) The LCM of 9522 and 9517 is associative

LCM of 9517 and 9522 = LCM of 9522 and 9517

Related Least Common Multiples of 9517

Related Least Common Multiples of 9522

Frequently Asked Questions on LCM of 9517 and 9522

1. What is the LCM of 9517 and 9522?

Answer: LCM of 9517 and 9522 is 90620874.

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 9522?

Answer: Factors of 9522 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414, 529, 1058, 1587, 3174, 4761, 9522. There are 18 integers that are factors of 9522. The greatest factor of 9522 is 9522.

4. How to Find the LCM of 9517 and 9522?

Answer:

Least Common Multiple of 9517 and 9522 = 90620874

Step 1: Find the prime factorization of 9517

9517 = 31 x 307

Step 2: Find the prime factorization of 9522

9522 = 2 x 3 x 3 x 23 x 23

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

LCM = 90620874 = 2 x 3 x 3 x 23 x 23 x 31 x 307

Step 4: Therefore, the least common multiple of 9517 and 9522 is 90620874.