Least Common Multiple of 9525 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 9525 and 9533 the smallest integer that is 90801825 that is divisible by both numbers.

Least Common Multiple (LCM) of 9525 and 9533 is 90801825.

LCM(9525,9533) = 90801825

LCM of 9525 and 9533

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

LCM of:
and

Least Common Multiple of 9525 and 9533

LCM of 9525 and 9533 is 90801825

Least common multiple can be found by multiplying the highest exponent prime factors of 9525 and 9533. First we will calculate the prime factors of 9525 and 9533.

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 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 9525 and 9533.

LCM(9525,9533) = 31×52×1271×95331
LCM(9525,9533) = 90801825

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 9533

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

1, 9533

Least Common Multiple of 9525 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 9525 and 9533, than apply into the LCM equation.

GCF(9525,9533) = 1
LCM(9525,9533) = ( 9525 × 9533) / 1
LCM(9525,9533) = 90801825 / 1
LCM(9525,9533) = 90801825

Properties of LCM 9525 and 9533

(i) The LCM of 9533 and 9525 is associative

LCM of 9525 and 9533 = LCM of 9533 and 9525

Related Least Common Multiples of 9525

Related Least Common Multiples of 9533

Frequently Asked Questions on LCM of 9525 and 9533

1. What is the LCM of 9525 and 9533?

Answer: LCM of 9525 and 9533 is 90801825.

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 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 9525 and 9533?

Answer:

Least Common Multiple of 9525 and 9533 = 90801825

Step 1: Find the prime factorization of 9525

9525 = 3 x 5 x 5 x 127

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 = 90801825 = 3 x 5 x 5 x 127 x 9533

Step 4: Therefore, the least common multiple of 9525 and 9533 is 90801825.