Least Common Multiple of 9525 and 9530

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 9530 the smallest integer that is 18154650 that is divisible by both numbers.

Least Common Multiple (LCM) of 9525 and 9530 is 18154650.

LCM(9525,9530) = 18154650

LCM of 9525 and 9530

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

LCM of:
and

Least Common Multiple of 9525 and 9530

LCM of 9525 and 9530 is 18154650

Least common multiple can be found by multiplying the highest exponent prime factors of 9525 and 9530. First we will calculate the prime factors of 9525 and 9530.

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 9530


2 9530
5 4765
953 953
1

Prime factors of 9530 are 2, 5,953. Prime factorization of 9530 in exponential form is:

9530 = 21×51×9531

Now multiplying the highest exponent prime factors to calculate the LCM of 9525 and 9530.

LCM(9525,9530) = 21×31×52×1271×9531
LCM(9525,9530) = 18154650

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 9530

List of positive integer factors of 9530 that divides 9530 without a remainder.

1, 2, 5, 10, 953, 1906, 4765, 9530

Least Common Multiple of 9525 and 9530 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 9530, than apply into the LCM equation.

GCF(9525,9530) = 5
LCM(9525,9530) = ( 9525 × 9530) / 5
LCM(9525,9530) = 90773250 / 5
LCM(9525,9530) = 18154650

Properties of LCM 9525 and 9530

(i) The LCM of 9530 and 9525 is associative

LCM of 9525 and 9530 = LCM of 9530 and 9525

Related Least Common Multiples of 9525

Related Least Common Multiples of 9530

Frequently Asked Questions on LCM of 9525 and 9530

1. What is the LCM of 9525 and 9530?

Answer: LCM of 9525 and 9530 is 18154650.

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 9530?

Answer: Factors of 9530 are 1, 2, 5, 10, 953, 1906, 4765, 9530. There are 8 integers that are factors of 9530. The greatest factor of 9530 is 9530.

4. How to Find the LCM of 9525 and 9530?

Answer:

Least Common Multiple of 9525 and 9530 = 18154650

Step 1: Find the prime factorization of 9525

9525 = 3 x 5 x 5 x 127

Step 2: Find the prime factorization of 9530

9530 = 2 x 5 x 953

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

LCM = 18154650 = 2 x 3 x 5 x 5 x 127 x 953

Step 4: Therefore, the least common multiple of 9525 and 9530 is 18154650.