Least Common Multiple of 8579 and 8584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8579 and 8584 the smallest integer that is 73642136 that is divisible by both numbers.

Least Common Multiple (LCM) of 8579 and 8584 is 73642136.

LCM(8579,8584) = 73642136

LCM of 8579 and 8584

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

LCM of:
and

Least Common Multiple of 8579 and 8584

LCM of 8579 and 8584 is 73642136

Least common multiple can be found by multiplying the highest exponent prime factors of 8579 and 8584. First we will calculate the prime factors of 8579 and 8584.

Prime Factorization of 8579


23 8579
373 373
1

Prime factors of 8579 are 23,373. Prime factorization of 8579 in exponential form is:

8579 = 231×3731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8579 and 8584.

LCM(8579,8584) = 23×231×291×371×3731
LCM(8579,8584) = 73642136

Factors of 8579

List of positive integer factors of 8579 that divides 8579 without a remainder.

1, 23, 373, 8579

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

Least Common Multiple of 8579 and 8584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8579 and 8584, than apply into the LCM equation.

GCF(8579,8584) = 1
LCM(8579,8584) = ( 8579 × 8584) / 1
LCM(8579,8584) = 73642136 / 1
LCM(8579,8584) = 73642136

Properties of LCM 8579 and 8584

(i) The LCM of 8584 and 8579 is associative

LCM of 8579 and 8584 = LCM of 8584 and 8579

Related Least Common Multiples of 8579

Related Least Common Multiples of 8584

Frequently Asked Questions on LCM of 8579 and 8584

1. What is the LCM of 8579 and 8584?

Answer: LCM of 8579 and 8584 is 73642136.

2. What are the Factors of 8579?

Answer: Factors of 8579 are 1, 23, 373, 8579. There are 4 integers that are factors of 8579. The greatest factor of 8579 is 8579.

3. 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.

4. How to Find the LCM of 8579 and 8584?

Answer:

Least Common Multiple of 8579 and 8584 = 73642136

Step 1: Find the prime factorization of 8579

8579 = 23 x 373

Step 2: Find the prime factorization of 8584

8584 = 2 x 2 x 2 x 29 x 37

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

LCM = 73642136 = 2 x 2 x 2 x 23 x 29 x 37 x 373

Step 4: Therefore, the least common multiple of 8579 and 8584 is 73642136.