Least Common Multiple of 9529 and 9533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9529 and 9533 the smallest integer that is 90839957 that is divisible by both numbers.

Least Common Multiple (LCM) of 9529 and 9533 is 90839957.

LCM(9529,9533) = 90839957

LCM of 9529 and 9533

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

LCM of:
and

Least Common Multiple of 9529 and 9533

LCM of 9529 and 9533 is 90839957

Least common multiple can be found by multiplying the highest exponent prime factors of 9529 and 9533. First we will calculate the prime factors of 9529 and 9533.

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

Prime Factorization of 9533


9533 9533
1

Prime factors of 9533 are 9533. Prime factorization of 9533 in exponential form is:

9533 = 95331

Now multiplying the highest exponent prime factors to calculate the LCM of 9529 and 9533.

LCM(9529,9533) = 131×7331×95331
LCM(9529,9533) = 90839957

Factors of 9529

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

1, 13, 733, 9529

Factors of 9533

List of positive integer factors of 9533 that divides 9533 without a remainder.

1, 9533

Least Common Multiple of 9529 and 9533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9529 and 9533, than apply into the LCM equation.

GCF(9529,9533) = 1
LCM(9529,9533) = ( 9529 × 9533) / 1
LCM(9529,9533) = 90839957 / 1
LCM(9529,9533) = 90839957

Properties of LCM 9529 and 9533

(i) The LCM of 9533 and 9529 is associative

LCM of 9529 and 9533 = LCM of 9533 and 9529

Related Least Common Multiples of 9529

Related Least Common Multiples of 9533

Frequently Asked Questions on LCM of 9529 and 9533

1. What is the LCM of 9529 and 9533?

Answer: LCM of 9529 and 9533 is 90839957.

2. 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.

3. What are the Factors of 9533?

Answer: Factors of 9533 are 1, 9533. There are 2 integers that are factors of 9533. The greatest factor of 9533 is 9533.

4. How to Find the LCM of 9529 and 9533?

Answer:

Least Common Multiple of 9529 and 9533 = 90839957

Step 1: Find the prime factorization of 9529

9529 = 13 x 733

Step 2: Find the prime factorization of 9533

9533 = 9533

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

LCM = 90839957 = 13 x 733 x 9533

Step 4: Therefore, the least common multiple of 9529 and 9533 is 90839957.