Least Common Multiple of 9566 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 9566 and 9571 the smallest integer that is 91556186 that is divisible by both numbers.

Least Common Multiple (LCM) of 9566 and 9571 is 91556186.

LCM(9566,9571) = 91556186

LCM of 9566 and 9571

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

LCM of:
and

Least Common Multiple of 9566 and 9571

LCM of 9566 and 9571 is 91556186

Least common multiple can be found by multiplying the highest exponent prime factors of 9566 and 9571. First we will calculate the prime factors of 9566 and 9571.

Prime Factorization of 9566


2 9566
4783 4783
1

Prime factors of 9566 are 2,4783. Prime factorization of 9566 in exponential form is:

9566 = 21×47831

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 9566 and 9571.

LCM(9566,9571) = 21×171×5631×47831
LCM(9566,9571) = 91556186

Factors of 9566

List of positive integer factors of 9566 that divides 9566 without a remainder.

1, 2, 4783, 9566

Factors of 9571

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

1, 17, 563, 9571

Least Common Multiple of 9566 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 9566 and 9571, than apply into the LCM equation.

GCF(9566,9571) = 1
LCM(9566,9571) = ( 9566 × 9571) / 1
LCM(9566,9571) = 91556186 / 1
LCM(9566,9571) = 91556186

Properties of LCM 9566 and 9571

(i) The LCM of 9571 and 9566 is associative

LCM of 9566 and 9571 = LCM of 9571 and 9566

Related Least Common Multiples of 9566

Related Least Common Multiples of 9571

Frequently Asked Questions on LCM of 9566 and 9571

1. What is the LCM of 9566 and 9571?

Answer: LCM of 9566 and 9571 is 91556186.

2. What are the Factors of 9566?

Answer: Factors of 9566 are 1, 2, 4783, 9566. There are 4 integers that are factors of 9566. The greatest factor of 9566 is 9566.

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 9566 and 9571?

Answer:

Least Common Multiple of 9566 and 9571 = 91556186

Step 1: Find the prime factorization of 9566

9566 = 2 x 4783

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 = 91556186 = 2 x 17 x 563 x 4783

Step 4: Therefore, the least common multiple of 9566 and 9571 is 91556186.