Least Common Multiple of 9568 and 9571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9568 and 9571 the smallest integer that is 91575328 that is divisible by both numbers.

Least Common Multiple (LCM) of 9568 and 9571 is 91575328.

LCM(9568,9571) = 91575328

LCM of 9568 and 9571

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

LCM of:
and

Least Common Multiple of 9568 and 9571

LCM of 9568 and 9571 is 91575328

Least common multiple can be found by multiplying the highest exponent prime factors of 9568 and 9571. First we will calculate the prime factors of 9568 and 9571.

Prime Factorization of 9568


2 9568
2 4784
2 2392
2 1196
2 598
13 299
23 23
1

Prime factors of 9568 are 2, 13,23. Prime factorization of 9568 in exponential form is:

9568 = 25×131×231

Prime Factorization of 9571


17 9571
563 563
1

Prime factors of 9571 are 17,563. Prime factorization of 9571 in exponential form is:

9571 = 171×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 9568 and 9571.

LCM(9568,9571) = 25×131×171×231×5631
LCM(9568,9571) = 91575328

Factors of 9568

List of positive integer factors of 9568 that divides 9568 without a remainder.

1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568

Factors of 9571

List of positive integer factors of 9571 that divides 9571 without a remainder.

1, 17, 563, 9571

Least Common Multiple of 9568 and 9571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9568 and 9571, than apply into the LCM equation.

GCF(9568,9571) = 1
LCM(9568,9571) = ( 9568 × 9571) / 1
LCM(9568,9571) = 91575328 / 1
LCM(9568,9571) = 91575328

Properties of LCM 9568 and 9571

(i) The LCM of 9571 and 9568 is associative

LCM of 9568 and 9571 = LCM of 9571 and 9568

Related Least Common Multiples of 9568

Related Least Common Multiples of 9571

Frequently Asked Questions on LCM of 9568 and 9571

1. What is the LCM of 9568 and 9571?

Answer: LCM of 9568 and 9571 is 91575328.

2. What are the Factors of 9568?

Answer: Factors of 9568 are 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568. There are 24 integers that are factors of 9568. The greatest factor of 9568 is 9568.

3. What are the Factors of 9571?

Answer: Factors of 9571 are 1, 17, 563, 9571. There are 4 integers that are factors of 9571. The greatest factor of 9571 is 9571.

4. How to Find the LCM of 9568 and 9571?

Answer:

Least Common Multiple of 9568 and 9571 = 91575328

Step 1: Find the prime factorization of 9568

9568 = 2 x 2 x 2 x 2 x 2 x 13 x 23

Step 2: Find the prime factorization of 9571

9571 = 17 x 563

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

LCM = 91575328 = 2 x 2 x 2 x 2 x 2 x 13 x 17 x 23 x 563

Step 4: Therefore, the least common multiple of 9568 and 9571 is 91575328.