Least Common Multiple of 9568 and 9573

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 9573 the smallest integer that is 91594464 that is divisible by both numbers.

Least Common Multiple (LCM) of 9568 and 9573 is 91594464.

LCM(9568,9573) = 91594464

LCM of 9568 and 9573

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

LCM of:
and

Least Common Multiple of 9568 and 9573

LCM of 9568 and 9573 is 91594464

Least common multiple can be found by multiplying the highest exponent prime factors of 9568 and 9573. First we will calculate the prime factors of 9568 and 9573.

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 9573


3 9573
3191 3191
1

Prime factors of 9573 are 3,3191. Prime factorization of 9573 in exponential form is:

9573 = 31×31911

Now multiplying the highest exponent prime factors to calculate the LCM of 9568 and 9573.

LCM(9568,9573) = 25×31×131×231×31911
LCM(9568,9573) = 91594464

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 9573

List of positive integer factors of 9573 that divides 9573 without a remainder.

1, 3, 3191, 9573

Least Common Multiple of 9568 and 9573 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 9573, than apply into the LCM equation.

GCF(9568,9573) = 1
LCM(9568,9573) = ( 9568 × 9573) / 1
LCM(9568,9573) = 91594464 / 1
LCM(9568,9573) = 91594464

Properties of LCM 9568 and 9573

(i) The LCM of 9573 and 9568 is associative

LCM of 9568 and 9573 = LCM of 9573 and 9568

Related Least Common Multiples of 9568

Related Least Common Multiples of 9573

Frequently Asked Questions on LCM of 9568 and 9573

1. What is the LCM of 9568 and 9573?

Answer: LCM of 9568 and 9573 is 91594464.

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 9573?

Answer: Factors of 9573 are 1, 3, 3191, 9573. There are 4 integers that are factors of 9573. The greatest factor of 9573 is 9573.

4. How to Find the LCM of 9568 and 9573?

Answer:

Least Common Multiple of 9568 and 9573 = 91594464

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 9573

9573 = 3 x 3191

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

LCM = 91594464 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 23 x 3191

Step 4: Therefore, the least common multiple of 9568 and 9573 is 91594464.