Least Common Multiple of 8584 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 8584 and 8587 the smallest integer that is 73710808 that is divisible by both numbers.

Least Common Multiple (LCM) of 8584 and 8587 is 73710808.

LCM(8584,8587) = 73710808

LCM of 8584 and 8587

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

LCM of:
and

Least Common Multiple of 8584 and 8587

LCM of 8584 and 8587 is 73710808

Least common multiple can be found by multiplying the highest exponent prime factors of 8584 and 8587. First we will calculate the prime factors of 8584 and 8587.

Prime Factorization of 8584


2 8584
2 4292
2 2146
29 1073
37 37
1

Prime factors of 8584 are 2, 29,37. Prime factorization of 8584 in exponential form is:

8584 = 23×291×371

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 8584 and 8587.

LCM(8584,8587) = 23×291×311×371×2771
LCM(8584,8587) = 73710808

Factors of 8584

List of positive integer factors of 8584 that divides 8584 without a remainder.

1, 2, 4, 8, 29, 37, 58, 74, 116, 148, 232, 296, 1073, 2146, 4292, 8584

Factors of 8587

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

1, 31, 277, 8587

Least Common Multiple of 8584 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 8584 and 8587, than apply into the LCM equation.

GCF(8584,8587) = 1
LCM(8584,8587) = ( 8584 × 8587) / 1
LCM(8584,8587) = 73710808 / 1
LCM(8584,8587) = 73710808

Properties of LCM 8584 and 8587

(i) The LCM of 8587 and 8584 is associative

LCM of 8584 and 8587 = LCM of 8587 and 8584

Related Least Common Multiples of 8584

Related Least Common Multiples of 8587

Frequently Asked Questions on LCM of 8584 and 8587

1. What is the LCM of 8584 and 8587?

Answer: LCM of 8584 and 8587 is 73710808.

2. What are the Factors of 8584?

Answer: Factors of 8584 are 1, 2, 4, 8, 29, 37, 58, 74, 116, 148, 232, 296, 1073, 2146, 4292, 8584. There are 16 integers that are factors of 8584. The greatest factor of 8584 is 8584.

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 8584 and 8587?

Answer:

Least Common Multiple of 8584 and 8587 = 73710808

Step 1: Find the prime factorization of 8584

8584 = 2 x 2 x 2 x 29 x 37

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 = 73710808 = 2 x 2 x 2 x 29 x 31 x 37 x 277

Step 4: Therefore, the least common multiple of 8584 and 8587 is 73710808.