Least Common Multiple of 8578 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 8578 and 8586 the smallest integer that is 36825354 that is divisible by both numbers.

Least Common Multiple (LCM) of 8578 and 8586 is 36825354.

LCM(8578,8586) = 36825354

LCM of 8578 and 8586

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

LCM of:
and

Least Common Multiple of 8578 and 8586

LCM of 8578 and 8586 is 36825354

Least common multiple can be found by multiplying the highest exponent prime factors of 8578 and 8586. First we will calculate the prime factors of 8578 and 8586.

Prime Factorization of 8578


2 8578
4289 4289
1

Prime factors of 8578 are 2,4289. Prime factorization of 8578 in exponential form is:

8578 = 21×42891

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 8578 and 8586.

LCM(8578,8586) = 21×34×531×42891
LCM(8578,8586) = 36825354

Factors of 8578

List of positive integer factors of 8578 that divides 8578 without a remainder.

1, 2, 4289, 8578

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 8578 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 8578 and 8586, than apply into the LCM equation.

GCF(8578,8586) = 2
LCM(8578,8586) = ( 8578 × 8586) / 2
LCM(8578,8586) = 73650708 / 2
LCM(8578,8586) = 36825354

Properties of LCM 8578 and 8586

(i) The LCM of 8586 and 8578 is associative

LCM of 8578 and 8586 = LCM of 8586 and 8578

Related Least Common Multiples of 8578

Related Least Common Multiples of 8586

Frequently Asked Questions on LCM of 8578 and 8586

1. What is the LCM of 8578 and 8586?

Answer: LCM of 8578 and 8586 is 36825354.

2. What are the Factors of 8578?

Answer: Factors of 8578 are 1, 2, 4289, 8578. There are 4 integers that are factors of 8578. The greatest factor of 8578 is 8578.

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 8578 and 8586?

Answer:

Least Common Multiple of 8578 and 8586 = 36825354

Step 1: Find the prime factorization of 8578

8578 = 2 x 4289

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 = 36825354 = 2 x 3 x 3 x 3 x 3 x 53 x 4289

Step 4: Therefore, the least common multiple of 8578 and 8586 is 36825354.