Least Common Multiple of 8582 and 8586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8582 and 8586 the smallest integer that is 36842526 that is divisible by both numbers.

Least Common Multiple (LCM) of 8582 and 8586 is 36842526.

LCM(8582,8586) = 36842526

LCM of 8582 and 8586

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

LCM of:
and

Least Common Multiple of 8582 and 8586

LCM of 8582 and 8586 is 36842526

Least common multiple can be found by multiplying the highest exponent prime factors of 8582 and 8586. First we will calculate the prime factors of 8582 and 8586.

Prime Factorization of 8582


2 8582
7 4291
613 613
1

Prime factors of 8582 are 2, 7,613. Prime factorization of 8582 in exponential form is:

8582 = 21×71×6131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8582 and 8586.

LCM(8582,8586) = 21×34×71×531×6131
LCM(8582,8586) = 36842526

Factors of 8582

List of positive integer factors of 8582 that divides 8582 without a remainder.

1, 2, 7, 14, 613, 1226, 4291, 8582

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

Least Common Multiple of 8582 and 8586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8582 and 8586, than apply into the LCM equation.

GCF(8582,8586) = 2
LCM(8582,8586) = ( 8582 × 8586) / 2
LCM(8582,8586) = 73685052 / 2
LCM(8582,8586) = 36842526

Properties of LCM 8582 and 8586

(i) The LCM of 8586 and 8582 is associative

LCM of 8582 and 8586 = LCM of 8586 and 8582

Related Least Common Multiples of 8582

Related Least Common Multiples of 8586

Frequently Asked Questions on LCM of 8582 and 8586

1. What is the LCM of 8582 and 8586?

Answer: LCM of 8582 and 8586 is 36842526.

2. What are the Factors of 8582?

Answer: Factors of 8582 are 1, 2, 7, 14, 613, 1226, 4291, 8582. There are 8 integers that are factors of 8582. The greatest factor of 8582 is 8582.

3. 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.

4. How to Find the LCM of 8582 and 8586?

Answer:

Least Common Multiple of 8582 and 8586 = 36842526

Step 1: Find the prime factorization of 8582

8582 = 2 x 7 x 613

Step 2: Find the prime factorization of 8586

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

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

LCM = 36842526 = 2 x 3 x 3 x 3 x 3 x 7 x 53 x 613

Step 4: Therefore, the least common multiple of 8582 and 8586 is 36842526.