Least Common Multiple of 9586 and 9594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9586 and 9594 the smallest integer that is 45984042 that is divisible by both numbers.

Least Common Multiple (LCM) of 9586 and 9594 is 45984042.

LCM(9586,9594) = 45984042

LCM of 9586 and 9594

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

LCM of:
and

Least Common Multiple of 9586 and 9594

LCM of 9586 and 9594 is 45984042

Least common multiple can be found by multiplying the highest exponent prime factors of 9586 and 9594. First we will calculate the prime factors of 9586 and 9594.

Prime Factorization of 9586


2 9586
4793 4793
1

Prime factors of 9586 are 2,4793. Prime factorization of 9586 in exponential form is:

9586 = 21×47931

Prime Factorization of 9594


2 9594
3 4797
3 1599
13 533
41 41
1

Prime factors of 9594 are 2, 3, 13,41. Prime factorization of 9594 in exponential form is:

9594 = 21×32×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 9586 and 9594.

LCM(9586,9594) = 21×32×131×411×47931
LCM(9586,9594) = 45984042

Factors of 9586

List of positive integer factors of 9586 that divides 9586 without a remainder.

1, 2, 4793, 9586

Factors of 9594

List of positive integer factors of 9594 that divides 9594 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594

Least Common Multiple of 9586 and 9594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9586 and 9594, than apply into the LCM equation.

GCF(9586,9594) = 2
LCM(9586,9594) = ( 9586 × 9594) / 2
LCM(9586,9594) = 91968084 / 2
LCM(9586,9594) = 45984042

Properties of LCM 9586 and 9594

(i) The LCM of 9594 and 9586 is associative

LCM of 9586 and 9594 = LCM of 9594 and 9586

Related Least Common Multiples of 9586

Related Least Common Multiples of 9594

Frequently Asked Questions on LCM of 9586 and 9594

1. What is the LCM of 9586 and 9594?

Answer: LCM of 9586 and 9594 is 45984042.

2. What are the Factors of 9586?

Answer: Factors of 9586 are 1, 2, 4793, 9586. There are 4 integers that are factors of 9586. The greatest factor of 9586 is 9586.

3. What are the Factors of 9594?

Answer: Factors of 9594 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 41, 78, 82, 117, 123, 234, 246, 369, 533, 738, 1066, 1599, 3198, 4797, 9594. There are 24 integers that are factors of 9594. The greatest factor of 9594 is 9594.

4. How to Find the LCM of 9586 and 9594?

Answer:

Least Common Multiple of 9586 and 9594 = 45984042

Step 1: Find the prime factorization of 9586

9586 = 2 x 4793

Step 2: Find the prime factorization of 9594

9594 = 2 x 3 x 3 x 13 x 41

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

LCM = 45984042 = 2 x 3 x 3 x 13 x 41 x 4793

Step 4: Therefore, the least common multiple of 9586 and 9594 is 45984042.