Least Common Multiple of 8584 and 8590

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 8590 the smallest integer that is 36868280 that is divisible by both numbers.

Least Common Multiple (LCM) of 8584 and 8590 is 36868280.

LCM(8584,8590) = 36868280

LCM of 8584 and 8590

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

LCM of:
and

Least Common Multiple of 8584 and 8590

LCM of 8584 and 8590 is 36868280

Least common multiple can be found by multiplying the highest exponent prime factors of 8584 and 8590. First we will calculate the prime factors of 8584 and 8590.

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 8590


2 8590
5 4295
859 859
1

Prime factors of 8590 are 2, 5,859. Prime factorization of 8590 in exponential form is:

8590 = 21×51×8591

Now multiplying the highest exponent prime factors to calculate the LCM of 8584 and 8590.

LCM(8584,8590) = 23×51×291×371×8591
LCM(8584,8590) = 36868280

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 8590

List of positive integer factors of 8590 that divides 8590 without a remainder.

1, 2, 5, 10, 859, 1718, 4295, 8590

Least Common Multiple of 8584 and 8590 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 8590, than apply into the LCM equation.

GCF(8584,8590) = 2
LCM(8584,8590) = ( 8584 × 8590) / 2
LCM(8584,8590) = 73736560 / 2
LCM(8584,8590) = 36868280

Properties of LCM 8584 and 8590

(i) The LCM of 8590 and 8584 is associative

LCM of 8584 and 8590 = LCM of 8590 and 8584

Related Least Common Multiples of 8584

Related Least Common Multiples of 8590

Frequently Asked Questions on LCM of 8584 and 8590

1. What is the LCM of 8584 and 8590?

Answer: LCM of 8584 and 8590 is 36868280.

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 8590?

Answer: Factors of 8590 are 1, 2, 5, 10, 859, 1718, 4295, 8590. There are 8 integers that are factors of 8590. The greatest factor of 8590 is 8590.

4. How to Find the LCM of 8584 and 8590?

Answer:

Least Common Multiple of 8584 and 8590 = 36868280

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 8590

8590 = 2 x 5 x 859

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

LCM = 36868280 = 2 x 2 x 2 x 5 x 29 x 37 x 859

Step 4: Therefore, the least common multiple of 8584 and 8590 is 36868280.