Least Common Multiple of 9524 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 9524 and 9531 the smallest integer that is 90773244 that is divisible by both numbers.

Least Common Multiple (LCM) of 9524 and 9531 is 90773244.

LCM(9524,9531) = 90773244

LCM of 9524 and 9531

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

LCM of:
and

Least Common Multiple of 9524 and 9531

LCM of 9524 and 9531 is 90773244

Least common multiple can be found by multiplying the highest exponent prime factors of 9524 and 9531. First we will calculate the prime factors of 9524 and 9531.

Prime Factorization of 9524


2 9524
2 4762
2381 2381
1

Prime factors of 9524 are 2,2381. Prime factorization of 9524 in exponential form is:

9524 = 22×23811

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 9524 and 9531.

LCM(9524,9531) = 22×33×3531×23811
LCM(9524,9531) = 90773244

Factors of 9524

List of positive integer factors of 9524 that divides 9524 without a remainder.

1, 2, 4, 2381, 4762, 9524

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 9524 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 9524 and 9531, than apply into the LCM equation.

GCF(9524,9531) = 1
LCM(9524,9531) = ( 9524 × 9531) / 1
LCM(9524,9531) = 90773244 / 1
LCM(9524,9531) = 90773244

Properties of LCM 9524 and 9531

(i) The LCM of 9531 and 9524 is associative

LCM of 9524 and 9531 = LCM of 9531 and 9524

Related Least Common Multiples of 9524

Related Least Common Multiples of 9531

Frequently Asked Questions on LCM of 9524 and 9531

1. What is the LCM of 9524 and 9531?

Answer: LCM of 9524 and 9531 is 90773244.

2. What are the Factors of 9524?

Answer: Factors of 9524 are 1, 2, 4, 2381, 4762, 9524. There are 6 integers that are factors of 9524. The greatest factor of 9524 is 9524.

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 9524 and 9531?

Answer:

Least Common Multiple of 9524 and 9531 = 90773244

Step 1: Find the prime factorization of 9524

9524 = 2 x 2 x 2381

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 = 90773244 = 2 x 2 x 3 x 3 x 3 x 353 x 2381

Step 4: Therefore, the least common multiple of 9524 and 9531 is 90773244.