Least Common Multiple of 9531 and 9536

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 9536 the smallest integer that is 90887616 that is divisible by both numbers.

Least Common Multiple (LCM) of 9531 and 9536 is 90887616.

LCM(9531,9536) = 90887616

LCM of 9531 and 9536

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

LCM of:
and

Least Common Multiple of 9531 and 9536

LCM of 9531 and 9536 is 90887616

Least common multiple can be found by multiplying the highest exponent prime factors of 9531 and 9536. First we will calculate the prime factors of 9531 and 9536.

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 9536


2 9536
2 4768
2 2384
2 1192
2 596
2 298
149 149
1

Prime factors of 9536 are 2,149. Prime factorization of 9536 in exponential form is:

9536 = 26×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 9531 and 9536.

LCM(9531,9536) = 26×33×1491×3531
LCM(9531,9536) = 90887616

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 9536

List of positive integer factors of 9536 that divides 9536 without a remainder.

1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536

Least Common Multiple of 9531 and 9536 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 9536, than apply into the LCM equation.

GCF(9531,9536) = 1
LCM(9531,9536) = ( 9531 × 9536) / 1
LCM(9531,9536) = 90887616 / 1
LCM(9531,9536) = 90887616

Properties of LCM 9531 and 9536

(i) The LCM of 9536 and 9531 is associative

LCM of 9531 and 9536 = LCM of 9536 and 9531

Related Least Common Multiples of 9531

Related Least Common Multiples of 9536

Frequently Asked Questions on LCM of 9531 and 9536

1. What is the LCM of 9531 and 9536?

Answer: LCM of 9531 and 9536 is 90887616.

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 9536?

Answer: Factors of 9536 are 1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536. There are 14 integers that are factors of 9536. The greatest factor of 9536 is 9536.

4. How to Find the LCM of 9531 and 9536?

Answer:

Least Common Multiple of 9531 and 9536 = 90887616

Step 1: Find the prime factorization of 9531

9531 = 3 x 3 x 3 x 353

Step 2: Find the prime factorization of 9536

9536 = 2 x 2 x 2 x 2 x 2 x 2 x 149

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

LCM = 90887616 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 149 x 353

Step 4: Therefore, the least common multiple of 9531 and 9536 is 90887616.