Least Common Multiple of 8581 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 8581 and 8586 the smallest integer that is 73676466 that is divisible by both numbers.

Least Common Multiple (LCM) of 8581 and 8586 is 73676466.

LCM(8581,8586) = 73676466

LCM of 8581 and 8586

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

LCM of:
and

Least Common Multiple of 8581 and 8586

LCM of 8581 and 8586 is 73676466

Least common multiple can be found by multiplying the highest exponent prime factors of 8581 and 8586. First we will calculate the prime factors of 8581 and 8586.

Prime Factorization of 8581


8581 8581
1

Prime factors of 8581 are 8581. Prime factorization of 8581 in exponential form is:

8581 = 85811

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 8581 and 8586.

LCM(8581,8586) = 21×34×531×85811
LCM(8581,8586) = 73676466

Factors of 8581

List of positive integer factors of 8581 that divides 8581 without a remainder.

1, 8581

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 8581 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 8581 and 8586, than apply into the LCM equation.

GCF(8581,8586) = 1
LCM(8581,8586) = ( 8581 × 8586) / 1
LCM(8581,8586) = 73676466 / 1
LCM(8581,8586) = 73676466

Properties of LCM 8581 and 8586

(i) The LCM of 8586 and 8581 is associative

LCM of 8581 and 8586 = LCM of 8586 and 8581

Related Least Common Multiples of 8581

Related Least Common Multiples of 8586

Frequently Asked Questions on LCM of 8581 and 8586

1. What is the LCM of 8581 and 8586?

Answer: LCM of 8581 and 8586 is 73676466.

2. What are the Factors of 8581?

Answer: Factors of 8581 are 1, 8581. There are 2 integers that are factors of 8581. The greatest factor of 8581 is 8581.

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 8581 and 8586?

Answer:

Least Common Multiple of 8581 and 8586 = 73676466

Step 1: Find the prime factorization of 8581

8581 = 8581

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 = 73676466 = 2 x 3 x 3 x 3 x 3 x 53 x 8581

Step 4: Therefore, the least common multiple of 8581 and 8586 is 73676466.