Least Common Multiple of 9529 and 9536

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 9536 the smallest integer that is 90868544 that is divisible by both numbers.

Least Common Multiple (LCM) of 9529 and 9536 is 90868544.

LCM(9529,9536) = 90868544

LCM of 9529 and 9536

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

LCM of:
and

Least Common Multiple of 9529 and 9536

LCM of 9529 and 9536 is 90868544

Least common multiple can be found by multiplying the highest exponent prime factors of 9529 and 9536. First we will calculate the prime factors of 9529 and 9536.

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 9536


2 9536
2 4768
2 2384
2 1192
2 596
2 298
149 149
1

Prime factors of 9536 are 2,149. Prime factorization of 9536 in exponential form is:

9536 = 26×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 9529 and 9536.

LCM(9529,9536) = 26×131×1491×7331
LCM(9529,9536) = 90868544

Factors of 9529

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

1, 13, 733, 9529

Factors of 9536

List of positive integer factors of 9536 that divides 9536 without a remainder.

1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536

Least Common Multiple of 9529 and 9536 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 9536, than apply into the LCM equation.

GCF(9529,9536) = 1
LCM(9529,9536) = ( 9529 × 9536) / 1
LCM(9529,9536) = 90868544 / 1
LCM(9529,9536) = 90868544

Properties of LCM 9529 and 9536

(i) The LCM of 9536 and 9529 is associative

LCM of 9529 and 9536 = LCM of 9536 and 9529

Related Least Common Multiples of 9529

Related Least Common Multiples of 9536

Frequently Asked Questions on LCM of 9529 and 9536

1. What is the LCM of 9529 and 9536?

Answer: LCM of 9529 and 9536 is 90868544.

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 9536?

Answer: Factors of 9536 are 1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536. There are 14 integers that are factors of 9536. The greatest factor of 9536 is 9536.

4. How to Find the LCM of 9529 and 9536?

Answer:

Least Common Multiple of 9529 and 9536 = 90868544

Step 1: Find the prime factorization of 9529

9529 = 13 x 733

Step 2: Find the prime factorization of 9536

9536 = 2 x 2 x 2 x 2 x 2 x 2 x 149

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

LCM = 90868544 = 2 x 2 x 2 x 2 x 2 x 2 x 13 x 149 x 733

Step 4: Therefore, the least common multiple of 9529 and 9536 is 90868544.