Least Common Multiple of 8586 and 8591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8586 and 8591 the smallest integer that is 73762326 that is divisible by both numbers.

Least Common Multiple (LCM) of 8586 and 8591 is 73762326.

LCM(8586,8591) = 73762326

LCM of 8586 and 8591

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

LCM of:
and

Least Common Multiple of 8586 and 8591

LCM of 8586 and 8591 is 73762326

Least common multiple can be found by multiplying the highest exponent prime factors of 8586 and 8591. First we will calculate the prime factors of 8586 and 8591.

Prime Factorization of 8586


2 8586
3 4293
3 1431
3 477
3 159
53 53
1

Prime factors of 8586 are 2, 3,53. Prime factorization of 8586 in exponential form is:

8586 = 21×34×531

Prime Factorization of 8591


11 8591
11 781
71 71
1

Prime factors of 8591 are 11,71. Prime factorization of 8591 in exponential form is:

8591 = 112×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8586 and 8591.

LCM(8586,8591) = 21×34×112×531×711
LCM(8586,8591) = 73762326

Factors of 8586

List of positive integer factors of 8586 that divides 8586 without a remainder.

1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 318, 477, 954, 1431, 2862, 4293, 8586

Factors of 8591

List of positive integer factors of 8591 that divides 8591 without a remainder.

1, 11, 71, 121, 781, 8591

Least Common Multiple of 8586 and 8591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8586 and 8591, than apply into the LCM equation.

GCF(8586,8591) = 1
LCM(8586,8591) = ( 8586 × 8591) / 1
LCM(8586,8591) = 73762326 / 1
LCM(8586,8591) = 73762326

Properties of LCM 8586 and 8591

(i) The LCM of 8591 and 8586 is associative

LCM of 8586 and 8591 = LCM of 8591 and 8586

Related Least Common Multiples of 8586

Related Least Common Multiples of 8591

Frequently Asked Questions on LCM of 8586 and 8591

1. What is the LCM of 8586 and 8591?

Answer: LCM of 8586 and 8591 is 73762326.

2. What are the Factors of 8586?

Answer: Factors of 8586 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 318, 477, 954, 1431, 2862, 4293, 8586. There are 20 integers that are factors of 8586. The greatest factor of 8586 is 8586.

3. What are the Factors of 8591?

Answer: Factors of 8591 are 1, 11, 71, 121, 781, 8591. There are 6 integers that are factors of 8591. The greatest factor of 8591 is 8591.

4. How to Find the LCM of 8586 and 8591?

Answer:

Least Common Multiple of 8586 and 8591 = 73762326

Step 1: Find the prime factorization of 8586

8586 = 2 x 3 x 3 x 3 x 3 x 53

Step 2: Find the prime factorization of 8591

8591 = 11 x 11 x 71

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

LCM = 73762326 = 2 x 3 x 3 x 3 x 3 x 11 x 11 x 53 x 71

Step 4: Therefore, the least common multiple of 8586 and 8591 is 73762326.