Least Common Multiple of 9531 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 9531 and 9539 the smallest integer that is 90916209 that is divisible by both numbers.

Least Common Multiple (LCM) of 9531 and 9539 is 90916209.

LCM(9531,9539) = 90916209

LCM of 9531 and 9539

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

LCM of:
and

Least Common Multiple of 9531 and 9539

LCM of 9531 and 9539 is 90916209

Least common multiple can be found by multiplying the highest exponent prime factors of 9531 and 9539. First we will calculate the prime factors of 9531 and 9539.

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

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 9531 and 9539.

LCM(9531,9539) = 33×3531×95391
LCM(9531,9539) = 90916209

Factors of 9531

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

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

Factors of 9539

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

1, 9539

Least Common Multiple of 9531 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 9531 and 9539, than apply into the LCM equation.

GCF(9531,9539) = 1
LCM(9531,9539) = ( 9531 × 9539) / 1
LCM(9531,9539) = 90916209 / 1
LCM(9531,9539) = 90916209

Properties of LCM 9531 and 9539

(i) The LCM of 9539 and 9531 is associative

LCM of 9531 and 9539 = LCM of 9539 and 9531

Related Least Common Multiples of 9531

Related Least Common Multiples of 9539

Frequently Asked Questions on LCM of 9531 and 9539

1. What is the LCM of 9531 and 9539?

Answer: LCM of 9531 and 9539 is 90916209.

2. 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.

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 9531 and 9539?

Answer:

Least Common Multiple of 9531 and 9539 = 90916209

Step 1: Find the prime factorization of 9531

9531 = 3 x 3 x 3 x 353

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 = 90916209 = 3 x 3 x 3 x 353 x 9539

Step 4: Therefore, the least common multiple of 9531 and 9539 is 90916209.