Least Common Multiple of 9532 and 9539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9532 and 9539 the smallest integer that is 90925748 that is divisible by both numbers.

Least Common Multiple (LCM) of 9532 and 9539 is 90925748.

LCM(9532,9539) = 90925748

LCM of 9532 and 9539

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

LCM of:
and

Least Common Multiple of 9532 and 9539

LCM of 9532 and 9539 is 90925748

Least common multiple can be found by multiplying the highest exponent prime factors of 9532 and 9539. First we will calculate the prime factors of 9532 and 9539.

Prime Factorization of 9532


2 9532
2 4766
2383 2383
1

Prime factors of 9532 are 2,2383. Prime factorization of 9532 in exponential form is:

9532 = 22×23831

Prime Factorization of 9539


9539 9539
1

Prime factors of 9539 are 9539. Prime factorization of 9539 in exponential form is:

9539 = 95391

Now multiplying the highest exponent prime factors to calculate the LCM of 9532 and 9539.

LCM(9532,9539) = 22×23831×95391
LCM(9532,9539) = 90925748

Factors of 9532

List of positive integer factors of 9532 that divides 9532 without a remainder.

1, 2, 4, 2383, 4766, 9532

Factors of 9539

List of positive integer factors of 9539 that divides 9539 without a remainder.

1, 9539

Least Common Multiple of 9532 and 9539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9532 and 9539, than apply into the LCM equation.

GCF(9532,9539) = 1
LCM(9532,9539) = ( 9532 × 9539) / 1
LCM(9532,9539) = 90925748 / 1
LCM(9532,9539) = 90925748

Properties of LCM 9532 and 9539

(i) The LCM of 9539 and 9532 is associative

LCM of 9532 and 9539 = LCM of 9539 and 9532

Related Least Common Multiples of 9532

Related Least Common Multiples of 9539

Frequently Asked Questions on LCM of 9532 and 9539

1. What is the LCM of 9532 and 9539?

Answer: LCM of 9532 and 9539 is 90925748.

2. What are the Factors of 9532?

Answer: Factors of 9532 are 1, 2, 4, 2383, 4766, 9532. There are 6 integers that are factors of 9532. The greatest factor of 9532 is 9532.

3. What are the Factors of 9539?

Answer: Factors of 9539 are 1, 9539. There are 2 integers that are factors of 9539. The greatest factor of 9539 is 9539.

4. How to Find the LCM of 9532 and 9539?

Answer:

Least Common Multiple of 9532 and 9539 = 90925748

Step 1: Find the prime factorization of 9532

9532 = 2 x 2 x 2383

Step 2: Find the prime factorization of 9539

9539 = 9539

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

LCM = 90925748 = 2 x 2 x 2383 x 9539

Step 4: Therefore, the least common multiple of 9532 and 9539 is 90925748.