Least Common Multiple of 9562 and 9568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9562 and 9568 the smallest integer that is 45744608 that is divisible by both numbers.

Least Common Multiple (LCM) of 9562 and 9568 is 45744608.

LCM(9562,9568) = 45744608

LCM of 9562 and 9568

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

LCM of:
and

Least Common Multiple of 9562 and 9568

LCM of 9562 and 9568 is 45744608

Least common multiple can be found by multiplying the highest exponent prime factors of 9562 and 9568. First we will calculate the prime factors of 9562 and 9568.

Prime Factorization of 9562


2 9562
7 4781
683 683
1

Prime factors of 9562 are 2, 7,683. Prime factorization of 9562 in exponential form is:

9562 = 21×71×6831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9562 and 9568.

LCM(9562,9568) = 25×71×131×231×6831
LCM(9562,9568) = 45744608

Factors of 9562

List of positive integer factors of 9562 that divides 9562 without a remainder.

1, 2, 7, 14, 683, 1366, 4781, 9562

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

Least Common Multiple of 9562 and 9568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9562 and 9568, than apply into the LCM equation.

GCF(9562,9568) = 2
LCM(9562,9568) = ( 9562 × 9568) / 2
LCM(9562,9568) = 91489216 / 2
LCM(9562,9568) = 45744608

Properties of LCM 9562 and 9568

(i) The LCM of 9568 and 9562 is associative

LCM of 9562 and 9568 = LCM of 9568 and 9562

Related Least Common Multiples of 9562

Related Least Common Multiples of 9568

Frequently Asked Questions on LCM of 9562 and 9568

1. What is the LCM of 9562 and 9568?

Answer: LCM of 9562 and 9568 is 45744608.

2. What are the Factors of 9562?

Answer: Factors of 9562 are 1, 2, 7, 14, 683, 1366, 4781, 9562. There are 8 integers that are factors of 9562. The greatest factor of 9562 is 9562.

3. 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.

4. How to Find the LCM of 9562 and 9568?

Answer:

Least Common Multiple of 9562 and 9568 = 45744608

Step 1: Find the prime factorization of 9562

9562 = 2 x 7 x 683

Step 2: Find the prime factorization of 9568

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

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

LCM = 45744608 = 2 x 2 x 2 x 2 x 2 x 7 x 13 x 23 x 683

Step 4: Therefore, the least common multiple of 9562 and 9568 is 45744608.