Least Common Multiple of 8586 and 8593

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 8593 the smallest integer that is 73779498 that is divisible by both numbers.

Least Common Multiple (LCM) of 8586 and 8593 is 73779498.

LCM(8586,8593) = 73779498

LCM of 8586 and 8593

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

LCM of:
and

Least Common Multiple of 8586 and 8593

LCM of 8586 and 8593 is 73779498

Least common multiple can be found by multiplying the highest exponent prime factors of 8586 and 8593. First we will calculate the prime factors of 8586 and 8593.

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 8593


13 8593
661 661
1

Prime factors of 8593 are 13,661. Prime factorization of 8593 in exponential form is:

8593 = 131×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 8586 and 8593.

LCM(8586,8593) = 21×34×131×531×6611
LCM(8586,8593) = 73779498

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 8593

List of positive integer factors of 8593 that divides 8593 without a remainder.

1, 13, 661, 8593

Least Common Multiple of 8586 and 8593 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 8593, than apply into the LCM equation.

GCF(8586,8593) = 1
LCM(8586,8593) = ( 8586 × 8593) / 1
LCM(8586,8593) = 73779498 / 1
LCM(8586,8593) = 73779498

Properties of LCM 8586 and 8593

(i) The LCM of 8593 and 8586 is associative

LCM of 8586 and 8593 = LCM of 8593 and 8586

Related Least Common Multiples of 8586

Related Least Common Multiples of 8593

Frequently Asked Questions on LCM of 8586 and 8593

1. What is the LCM of 8586 and 8593?

Answer: LCM of 8586 and 8593 is 73779498.

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 8593?

Answer: Factors of 8593 are 1, 13, 661, 8593. There are 4 integers that are factors of 8593. The greatest factor of 8593 is 8593.

4. How to Find the LCM of 8586 and 8593?

Answer:

Least Common Multiple of 8586 and 8593 = 73779498

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 8593

8593 = 13 x 661

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

LCM = 73779498 = 2 x 3 x 3 x 3 x 3 x 13 x 53 x 661

Step 4: Therefore, the least common multiple of 8586 and 8593 is 73779498.