Least Common Multiple of 9525 and 9531

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 9531 the smallest integer that is 30260925 that is divisible by both numbers.

Least Common Multiple (LCM) of 9525 and 9531 is 30260925.

LCM(9525,9531) = 30260925

LCM of 9525 and 9531

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

LCM of:
and

Least Common Multiple of 9525 and 9531

LCM of 9525 and 9531 is 30260925

Least common multiple can be found by multiplying the highest exponent prime factors of 9525 and 9531. First we will calculate the prime factors of 9525 and 9531.

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 9531


3 9531
3 3177
3 1059
353 353
1

Prime factors of 9531 are 3,353. Prime factorization of 9531 in exponential form is:

9531 = 33×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 9525 and 9531.

LCM(9525,9531) = 33×52×1271×3531
LCM(9525,9531) = 30260925

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 9531

List of positive integer factors of 9531 that divides 9531 without a remainder.

1, 3, 9, 27, 353, 1059, 3177, 9531

Least Common Multiple of 9525 and 9531 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 9531, than apply into the LCM equation.

GCF(9525,9531) = 3
LCM(9525,9531) = ( 9525 × 9531) / 3
LCM(9525,9531) = 90782775 / 3
LCM(9525,9531) = 30260925

Properties of LCM 9525 and 9531

(i) The LCM of 9531 and 9525 is associative

LCM of 9525 and 9531 = LCM of 9531 and 9525

Related Least Common Multiples of 9525

Related Least Common Multiples of 9531

Frequently Asked Questions on LCM of 9525 and 9531

1. What is the LCM of 9525 and 9531?

Answer: LCM of 9525 and 9531 is 30260925.

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 9531?

Answer: Factors of 9531 are 1, 3, 9, 27, 353, 1059, 3177, 9531. There are 8 integers that are factors of 9531. The greatest factor of 9531 is 9531.

4. How to Find the LCM of 9525 and 9531?

Answer:

Least Common Multiple of 9525 and 9531 = 30260925

Step 1: Find the prime factorization of 9525

9525 = 3 x 5 x 5 x 127

Step 2: Find the prime factorization of 9531

9531 = 3 x 3 x 3 x 353

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

LCM = 30260925 = 3 x 3 x 3 x 5 x 5 x 127 x 353

Step 4: Therefore, the least common multiple of 9525 and 9531 is 30260925.