Least Common Multiple of 9521 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 9521 and 9529 the smallest integer that is 90725609 that is divisible by both numbers.

Least Common Multiple (LCM) of 9521 and 9529 is 90725609.

LCM(9521,9529) = 90725609

LCM of 9521 and 9529

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

LCM of:
and

Least Common Multiple of 9521 and 9529

LCM of 9521 and 9529 is 90725609

Least common multiple can be found by multiplying the highest exponent prime factors of 9521 and 9529. First we will calculate the prime factors of 9521 and 9529.

Prime Factorization of 9521


9521 9521
1

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

9521 = 95211

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 9521 and 9529.

LCM(9521,9529) = 131×7331×95211
LCM(9521,9529) = 90725609

Factors of 9521

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

1, 9521

Factors of 9529

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

1, 13, 733, 9529

Least Common Multiple of 9521 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 9521 and 9529, than apply into the LCM equation.

GCF(9521,9529) = 1
LCM(9521,9529) = ( 9521 × 9529) / 1
LCM(9521,9529) = 90725609 / 1
LCM(9521,9529) = 90725609

Properties of LCM 9521 and 9529

(i) The LCM of 9529 and 9521 is associative

LCM of 9521 and 9529 = LCM of 9529 and 9521

Related Least Common Multiples of 9521

Related Least Common Multiples of 9529

Frequently Asked Questions on LCM of 9521 and 9529

1. What is the LCM of 9521 and 9529?

Answer: LCM of 9521 and 9529 is 90725609.

2. 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.

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 9521 and 9529?

Answer:

Least Common Multiple of 9521 and 9529 = 90725609

Step 1: Find the prime factorization of 9521

9521 = 9521

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 = 90725609 = 13 x 733 x 9521

Step 4: Therefore, the least common multiple of 9521 and 9529 is 90725609.