Least Common Multiple of 8580 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 8580 and 8586 the smallest integer that is 12277980 that is divisible by both numbers.

Least Common Multiple (LCM) of 8580 and 8586 is 12277980.

LCM(8580,8586) = 12277980

LCM of 8580 and 8586

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

LCM of:
and

Least Common Multiple of 8580 and 8586

LCM of 8580 and 8586 is 12277980

Least common multiple can be found by multiplying the highest exponent prime factors of 8580 and 8586. First we will calculate the prime factors of 8580 and 8586.

Prime Factorization of 8580


2 8580
2 4290
3 2145
5 715
11 143
13 13
1

Prime factors of 8580 are 2, 3, 5, 11,13. Prime factorization of 8580 in exponential form is:

8580 = 22×31×51×111×131

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 8580 and 8586.

LCM(8580,8586) = 22×34×51×111×131×531
LCM(8580,8586) = 12277980

Factors of 8580

List of positive integer factors of 8580 that divides 8580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290, 8580

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 8580 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 8580 and 8586, than apply into the LCM equation.

GCF(8580,8586) = 6
LCM(8580,8586) = ( 8580 × 8586) / 6
LCM(8580,8586) = 73667880 / 6
LCM(8580,8586) = 12277980

Properties of LCM 8580 and 8586

(i) The LCM of 8586 and 8580 is associative

LCM of 8580 and 8586 = LCM of 8586 and 8580

Related Least Common Multiples of 8580

Related Least Common Multiples of 8586

Frequently Asked Questions on LCM of 8580 and 8586

1. What is the LCM of 8580 and 8586?

Answer: LCM of 8580 and 8586 is 12277980.

2. What are the Factors of 8580?

Answer: Factors of 8580 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290, 8580. There are 48 integers that are factors of 8580. The greatest factor of 8580 is 8580.

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 8580 and 8586?

Answer:

Least Common Multiple of 8580 and 8586 = 12277980

Step 1: Find the prime factorization of 8580

8580 = 2 x 2 x 3 x 5 x 11 x 13

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 = 12277980 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 11 x 13 x 53

Step 4: Therefore, the least common multiple of 8580 and 8586 is 12277980.