Least Common Multiple of 9522 and 9529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9522 and 9529 the smallest integer that is 90735138 that is divisible by both numbers.

Least Common Multiple (LCM) of 9522 and 9529 is 90735138.

LCM(9522,9529) = 90735138

LCM of 9522 and 9529

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

LCM of:
and

Least Common Multiple of 9522 and 9529

LCM of 9522 and 9529 is 90735138

Least common multiple can be found by multiplying the highest exponent prime factors of 9522 and 9529. First we will calculate the prime factors of 9522 and 9529.

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

Prime Factorization of 9529


13 9529
733 733
1

Prime factors of 9529 are 13,733. Prime factorization of 9529 in exponential form is:

9529 = 131×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 9522 and 9529.

LCM(9522,9529) = 21×32×131×232×7331
LCM(9522,9529) = 90735138

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

Factors of 9529

List of positive integer factors of 9529 that divides 9529 without a remainder.

1, 13, 733, 9529

Least Common Multiple of 9522 and 9529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9522 and 9529, than apply into the LCM equation.

GCF(9522,9529) = 1
LCM(9522,9529) = ( 9522 × 9529) / 1
LCM(9522,9529) = 90735138 / 1
LCM(9522,9529) = 90735138

Properties of LCM 9522 and 9529

(i) The LCM of 9529 and 9522 is associative

LCM of 9522 and 9529 = LCM of 9529 and 9522

Related Least Common Multiples of 9522

Related Least Common Multiples of 9529

Frequently Asked Questions on LCM of 9522 and 9529

1. What is the LCM of 9522 and 9529?

Answer: LCM of 9522 and 9529 is 90735138.

2. 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.

3. What are the Factors of 9529?

Answer: Factors of 9529 are 1, 13, 733, 9529. There are 4 integers that are factors of 9529. The greatest factor of 9529 is 9529.

4. How to Find the LCM of 9522 and 9529?

Answer:

Least Common Multiple of 9522 and 9529 = 90735138

Step 1: Find the prime factorization of 9522

9522 = 2 x 3 x 3 x 23 x 23

Step 2: Find the prime factorization of 9529

9529 = 13 x 733

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

LCM = 90735138 = 2 x 3 x 3 x 13 x 23 x 23 x 733

Step 4: Therefore, the least common multiple of 9522 and 9529 is 90735138.