Least Common Multiple of 9525 and 9532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9525 and 9532 the smallest integer that is 90792300 that is divisible by both numbers.

Least Common Multiple (LCM) of 9525 and 9532 is 90792300.

LCM(9525,9532) = 90792300

LCM of 9525 and 9532

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

LCM of:
and

Least Common Multiple of 9525 and 9532

LCM of 9525 and 9532 is 90792300

Least common multiple can be found by multiplying the highest exponent prime factors of 9525 and 9532. First we will calculate the prime factors of 9525 and 9532.

Prime Factorization of 9525


3 9525
5 3175
5 635
127 127
1

Prime factors of 9525 are 3, 5,127. Prime factorization of 9525 in exponential form is:

9525 = 31×52×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9525 and 9532.

LCM(9525,9532) = 22×31×52×1271×23831
LCM(9525,9532) = 90792300

Factors of 9525

List of positive integer factors of 9525 that divides 9525 without a remainder.

1, 3, 5, 15, 25, 75, 127, 381, 635, 1905, 3175, 9525

Factors of 9532

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

1, 2, 4, 2383, 4766, 9532

Least Common Multiple of 9525 and 9532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9525 and 9532, than apply into the LCM equation.

GCF(9525,9532) = 1
LCM(9525,9532) = ( 9525 × 9532) / 1
LCM(9525,9532) = 90792300 / 1
LCM(9525,9532) = 90792300

Properties of LCM 9525 and 9532

(i) The LCM of 9532 and 9525 is associative

LCM of 9525 and 9532 = LCM of 9532 and 9525

Related Least Common Multiples of 9525

Related Least Common Multiples of 9532

Frequently Asked Questions on LCM of 9525 and 9532

1. What is the LCM of 9525 and 9532?

Answer: LCM of 9525 and 9532 is 90792300.

2. What are the Factors of 9525?

Answer: Factors of 9525 are 1, 3, 5, 15, 25, 75, 127, 381, 635, 1905, 3175, 9525. There are 12 integers that are factors of 9525. The greatest factor of 9525 is 9525.

3. 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.

4. How to Find the LCM of 9525 and 9532?

Answer:

Least Common Multiple of 9525 and 9532 = 90792300

Step 1: Find the prime factorization of 9525

9525 = 3 x 5 x 5 x 127

Step 2: Find the prime factorization of 9532

9532 = 2 x 2 x 2383

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

LCM = 90792300 = 2 x 2 x 3 x 5 x 5 x 127 x 2383

Step 4: Therefore, the least common multiple of 9525 and 9532 is 90792300.