Least Common Multiple of 9568 and 9569

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 9569 the smallest integer that is 91556192 that is divisible by both numbers.

Least Common Multiple (LCM) of 9568 and 9569 is 91556192.

LCM(9568,9569) = 91556192

LCM of 9568 and 9569

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

LCM of:
and

Least Common Multiple of 9568 and 9569

LCM of 9568 and 9569 is 91556192

Least common multiple can be found by multiplying the highest exponent prime factors of 9568 and 9569. First we will calculate the prime factors of 9568 and 9569.

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 9569


7 9569
1367 1367
1

Prime factors of 9569 are 7,1367. Prime factorization of 9569 in exponential form is:

9569 = 71×13671

Now multiplying the highest exponent prime factors to calculate the LCM of 9568 and 9569.

LCM(9568,9569) = 25×71×131×231×13671
LCM(9568,9569) = 91556192

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 9569

List of positive integer factors of 9569 that divides 9569 without a remainder.

1, 7, 1367, 9569

Least Common Multiple of 9568 and 9569 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 9569, than apply into the LCM equation.

GCF(9568,9569) = 1
LCM(9568,9569) = ( 9568 × 9569) / 1
LCM(9568,9569) = 91556192 / 1
LCM(9568,9569) = 91556192

Properties of LCM 9568 and 9569

(i) The LCM of 9569 and 9568 is associative

LCM of 9568 and 9569 = LCM of 9569 and 9568

Related Least Common Multiples of 9568

Related Least Common Multiples of 9569

Frequently Asked Questions on LCM of 9568 and 9569

1. What is the LCM of 9568 and 9569?

Answer: LCM of 9568 and 9569 is 91556192.

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 9569?

Answer: Factors of 9569 are 1, 7, 1367, 9569. There are 4 integers that are factors of 9569. The greatest factor of 9569 is 9569.

4. How to Find the LCM of 9568 and 9569?

Answer:

Least Common Multiple of 9568 and 9569 = 91556192

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 9569

9569 = 7 x 1367

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

LCM = 91556192 = 2 x 2 x 2 x 2 x 2 x 7 x 13 x 23 x 1367

Step 4: Therefore, the least common multiple of 9568 and 9569 is 91556192.