Least Common Multiple of 8578 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 8578 and 8584 the smallest integer that is 36816776 that is divisible by both numbers.

Least Common Multiple (LCM) of 8578 and 8584 is 36816776.

LCM(8578,8584) = 36816776

LCM of 8578 and 8584

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

LCM of:
and

Least Common Multiple of 8578 and 8584

LCM of 8578 and 8584 is 36816776

Least common multiple can be found by multiplying the highest exponent prime factors of 8578 and 8584. First we will calculate the prime factors of 8578 and 8584.

Prime Factorization of 8578


2 8578
4289 4289
1

Prime factors of 8578 are 2,4289. Prime factorization of 8578 in exponential form is:

8578 = 21×42891

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 8578 and 8584.

LCM(8578,8584) = 23×291×371×42891
LCM(8578,8584) = 36816776

Factors of 8578

List of positive integer factors of 8578 that divides 8578 without a remainder.

1, 2, 4289, 8578

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 8578 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 8578 and 8584, than apply into the LCM equation.

GCF(8578,8584) = 2
LCM(8578,8584) = ( 8578 × 8584) / 2
LCM(8578,8584) = 73633552 / 2
LCM(8578,8584) = 36816776

Properties of LCM 8578 and 8584

(i) The LCM of 8584 and 8578 is associative

LCM of 8578 and 8584 = LCM of 8584 and 8578

Related Least Common Multiples of 8578

Related Least Common Multiples of 8584

Frequently Asked Questions on LCM of 8578 and 8584

1. What is the LCM of 8578 and 8584?

Answer: LCM of 8578 and 8584 is 36816776.

2. What are the Factors of 8578?

Answer: Factors of 8578 are 1, 2, 4289, 8578. There are 4 integers that are factors of 8578. The greatest factor of 8578 is 8578.

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 8578 and 8584?

Answer:

Least Common Multiple of 8578 and 8584 = 36816776

Step 1: Find the prime factorization of 8578

8578 = 2 x 4289

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 = 36816776 = 2 x 2 x 2 x 29 x 37 x 4289

Step 4: Therefore, the least common multiple of 8578 and 8584 is 36816776.