Least Common Multiple of 9568 and 9572

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 9572 the smallest integer that is 22896224 that is divisible by both numbers.

Least Common Multiple (LCM) of 9568 and 9572 is 22896224.

LCM(9568,9572) = 22896224

LCM of 9568 and 9572

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

LCM of:
and

Least Common Multiple of 9568 and 9572

LCM of 9568 and 9572 is 22896224

Least common multiple can be found by multiplying the highest exponent prime factors of 9568 and 9572. First we will calculate the prime factors of 9568 and 9572.

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 9572


2 9572
2 4786
2393 2393
1

Prime factors of 9572 are 2,2393. Prime factorization of 9572 in exponential form is:

9572 = 22×23931

Now multiplying the highest exponent prime factors to calculate the LCM of 9568 and 9572.

LCM(9568,9572) = 25×131×231×23931
LCM(9568,9572) = 22896224

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 9572

List of positive integer factors of 9572 that divides 9572 without a remainder.

1, 2, 4, 2393, 4786, 9572

Least Common Multiple of 9568 and 9572 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 9572, than apply into the LCM equation.

GCF(9568,9572) = 4
LCM(9568,9572) = ( 9568 × 9572) / 4
LCM(9568,9572) = 91584896 / 4
LCM(9568,9572) = 22896224

Properties of LCM 9568 and 9572

(i) The LCM of 9572 and 9568 is associative

LCM of 9568 and 9572 = LCM of 9572 and 9568

Related Least Common Multiples of 9568

Related Least Common Multiples of 9572

Frequently Asked Questions on LCM of 9568 and 9572

1. What is the LCM of 9568 and 9572?

Answer: LCM of 9568 and 9572 is 22896224.

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 9572?

Answer: Factors of 9572 are 1, 2, 4, 2393, 4786, 9572. There are 6 integers that are factors of 9572. The greatest factor of 9572 is 9572.

4. How to Find the LCM of 9568 and 9572?

Answer:

Least Common Multiple of 9568 and 9572 = 22896224

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 9572

9572 = 2 x 2 x 2393

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

LCM = 22896224 = 2 x 2 x 2 x 2 x 2 x 13 x 23 x 2393

Step 4: Therefore, the least common multiple of 9568 and 9572 is 22896224.