Least Common Multiple of 9559 and 9566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9559 and 9566 the smallest integer that is 91441394 that is divisible by both numbers.

Least Common Multiple (LCM) of 9559 and 9566 is 91441394.

LCM(9559,9566) = 91441394

LCM of 9559 and 9566

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

LCM of:
and

Least Common Multiple of 9559 and 9566

LCM of 9559 and 9566 is 91441394

Least common multiple can be found by multiplying the highest exponent prime factors of 9559 and 9566. First we will calculate the prime factors of 9559 and 9566.

Prime Factorization of 9559


11 9559
11 869
79 79
1

Prime factors of 9559 are 11,79. Prime factorization of 9559 in exponential form is:

9559 = 112×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9559 and 9566.

LCM(9559,9566) = 21×112×791×47831
LCM(9559,9566) = 91441394

Factors of 9559

List of positive integer factors of 9559 that divides 9559 without a remainder.

1, 11, 79, 121, 869, 9559

Factors of 9566

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

1, 2, 4783, 9566

Least Common Multiple of 9559 and 9566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9559 and 9566, than apply into the LCM equation.

GCF(9559,9566) = 1
LCM(9559,9566) = ( 9559 × 9566) / 1
LCM(9559,9566) = 91441394 / 1
LCM(9559,9566) = 91441394

Properties of LCM 9559 and 9566

(i) The LCM of 9566 and 9559 is associative

LCM of 9559 and 9566 = LCM of 9566 and 9559

Related Least Common Multiples of 9559

Related Least Common Multiples of 9566

Frequently Asked Questions on LCM of 9559 and 9566

1. What is the LCM of 9559 and 9566?

Answer: LCM of 9559 and 9566 is 91441394.

2. What are the Factors of 9559?

Answer: Factors of 9559 are 1, 11, 79, 121, 869, 9559. There are 6 integers that are factors of 9559. The greatest factor of 9559 is 9559.

3. 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.

4. How to Find the LCM of 9559 and 9566?

Answer:

Least Common Multiple of 9559 and 9566 = 91441394

Step 1: Find the prime factorization of 9559

9559 = 11 x 11 x 79

Step 2: Find the prime factorization of 9566

9566 = 2 x 4783

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

LCM = 91441394 = 2 x 11 x 11 x 79 x 4783

Step 4: Therefore, the least common multiple of 9559 and 9566 is 91441394.