Least Common Multiple of 9566 and 9574

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 9574 the smallest integer that is 45792442 that is divisible by both numbers.

Least Common Multiple (LCM) of 9566 and 9574 is 45792442.

LCM(9566,9574) = 45792442

LCM of 9566 and 9574

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

LCM of:
and

Least Common Multiple of 9566 and 9574

LCM of 9566 and 9574 is 45792442

Least common multiple can be found by multiplying the highest exponent prime factors of 9566 and 9574. First we will calculate the prime factors of 9566 and 9574.

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 9574


2 9574
4787 4787
1

Prime factors of 9574 are 2,4787. Prime factorization of 9574 in exponential form is:

9574 = 21×47871

Now multiplying the highest exponent prime factors to calculate the LCM of 9566 and 9574.

LCM(9566,9574) = 21×47831×47871
LCM(9566,9574) = 45792442

Factors of 9566

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

1, 2, 4783, 9566

Factors of 9574

List of positive integer factors of 9574 that divides 9574 without a remainder.

1, 2, 4787, 9574

Least Common Multiple of 9566 and 9574 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 9574, than apply into the LCM equation.

GCF(9566,9574) = 2
LCM(9566,9574) = ( 9566 × 9574) / 2
LCM(9566,9574) = 91584884 / 2
LCM(9566,9574) = 45792442

Properties of LCM 9566 and 9574

(i) The LCM of 9574 and 9566 is associative

LCM of 9566 and 9574 = LCM of 9574 and 9566

Related Least Common Multiples of 9566

Related Least Common Multiples of 9574

Frequently Asked Questions on LCM of 9566 and 9574

1. What is the LCM of 9566 and 9574?

Answer: LCM of 9566 and 9574 is 45792442.

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 9574?

Answer: Factors of 9574 are 1, 2, 4787, 9574. There are 4 integers that are factors of 9574. The greatest factor of 9574 is 9574.

4. How to Find the LCM of 9566 and 9574?

Answer:

Least Common Multiple of 9566 and 9574 = 45792442

Step 1: Find the prime factorization of 9566

9566 = 2 x 4783

Step 2: Find the prime factorization of 9574

9574 = 2 x 4787

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

LCM = 45792442 = 2 x 4783 x 4787

Step 4: Therefore, the least common multiple of 9566 and 9574 is 45792442.