Least Common Multiple of 8580 and 8587

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 8587 the smallest integer that is 73676460 that is divisible by both numbers.

Least Common Multiple (LCM) of 8580 and 8587 is 73676460.

LCM(8580,8587) = 73676460

LCM of 8580 and 8587

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

LCM of:
and

Least Common Multiple of 8580 and 8587

LCM of 8580 and 8587 is 73676460

Least common multiple can be found by multiplying the highest exponent prime factors of 8580 and 8587. First we will calculate the prime factors of 8580 and 8587.

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 8587


31 8587
277 277
1

Prime factors of 8587 are 31,277. Prime factorization of 8587 in exponential form is:

8587 = 311×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 8580 and 8587.

LCM(8580,8587) = 22×31×51×111×131×311×2771
LCM(8580,8587) = 73676460

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 8587

List of positive integer factors of 8587 that divides 8587 without a remainder.

1, 31, 277, 8587

Least Common Multiple of 8580 and 8587 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 8587, than apply into the LCM equation.

GCF(8580,8587) = 1
LCM(8580,8587) = ( 8580 × 8587) / 1
LCM(8580,8587) = 73676460 / 1
LCM(8580,8587) = 73676460

Properties of LCM 8580 and 8587

(i) The LCM of 8587 and 8580 is associative

LCM of 8580 and 8587 = LCM of 8587 and 8580

Related Least Common Multiples of 8580

Related Least Common Multiples of 8587

Frequently Asked Questions on LCM of 8580 and 8587

1. What is the LCM of 8580 and 8587?

Answer: LCM of 8580 and 8587 is 73676460.

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 8587?

Answer: Factors of 8587 are 1, 31, 277, 8587. There are 4 integers that are factors of 8587. The greatest factor of 8587 is 8587.

4. How to Find the LCM of 8580 and 8587?

Answer:

Least Common Multiple of 8580 and 8587 = 73676460

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 8587

8587 = 31 x 277

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

LCM = 73676460 = 2 x 2 x 3 x 5 x 11 x 13 x 31 x 277

Step 4: Therefore, the least common multiple of 8580 and 8587 is 73676460.