Least Common Multiple of 9562 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 9562 and 9566 the smallest integer that is 45735046 that is divisible by both numbers.

Least Common Multiple (LCM) of 9562 and 9566 is 45735046.

LCM(9562,9566) = 45735046

LCM of 9562 and 9566

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

LCM of:
and

Least Common Multiple of 9562 and 9566

LCM of 9562 and 9566 is 45735046

Least common multiple can be found by multiplying the highest exponent prime factors of 9562 and 9566. First we will calculate the prime factors of 9562 and 9566.

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 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 9562 and 9566.

LCM(9562,9566) = 21×71×6831×47831
LCM(9562,9566) = 45735046

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 9566

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

1, 2, 4783, 9566

Least Common Multiple of 9562 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 9562 and 9566, than apply into the LCM equation.

GCF(9562,9566) = 2
LCM(9562,9566) = ( 9562 × 9566) / 2
LCM(9562,9566) = 91470092 / 2
LCM(9562,9566) = 45735046

Properties of LCM 9562 and 9566

(i) The LCM of 9566 and 9562 is associative

LCM of 9562 and 9566 = LCM of 9566 and 9562

Related Least Common Multiples of 9562

Related Least Common Multiples of 9566

Frequently Asked Questions on LCM of 9562 and 9566

1. What is the LCM of 9562 and 9566?

Answer: LCM of 9562 and 9566 is 45735046.

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 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 9562 and 9566?

Answer:

Least Common Multiple of 9562 and 9566 = 45735046

Step 1: Find the prime factorization of 9562

9562 = 2 x 7 x 683

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 = 45735046 = 2 x 7 x 683 x 4783

Step 4: Therefore, the least common multiple of 9562 and 9566 is 45735046.