Least Common Multiple of 8584 and 8592

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 8592 the smallest integer that is 9219216 that is divisible by both numbers.

Least Common Multiple (LCM) of 8584 and 8592 is 9219216.

LCM(8584,8592) = 9219216

LCM of 8584 and 8592

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

LCM of:
and

Least Common Multiple of 8584 and 8592

LCM of 8584 and 8592 is 9219216

Least common multiple can be found by multiplying the highest exponent prime factors of 8584 and 8592. First we will calculate the prime factors of 8584 and 8592.

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 8592


2 8592
2 4296
2 2148
2 1074
3 537
179 179
1

Prime factors of 8592 are 2, 3,179. Prime factorization of 8592 in exponential form is:

8592 = 24×31×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 8584 and 8592.

LCM(8584,8592) = 24×31×291×371×1791
LCM(8584,8592) = 9219216

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 8592

List of positive integer factors of 8592 that divides 8592 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 179, 358, 537, 716, 1074, 1432, 2148, 2864, 4296, 8592

Least Common Multiple of 8584 and 8592 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 8592, than apply into the LCM equation.

GCF(8584,8592) = 8
LCM(8584,8592) = ( 8584 × 8592) / 8
LCM(8584,8592) = 73753728 / 8
LCM(8584,8592) = 9219216

Properties of LCM 8584 and 8592

(i) The LCM of 8592 and 8584 is associative

LCM of 8584 and 8592 = LCM of 8592 and 8584

Related Least Common Multiples of 8584

Related Least Common Multiples of 8592

Frequently Asked Questions on LCM of 8584 and 8592

1. What is the LCM of 8584 and 8592?

Answer: LCM of 8584 and 8592 is 9219216.

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 8592?

Answer: Factors of 8592 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 179, 358, 537, 716, 1074, 1432, 2148, 2864, 4296, 8592. There are 20 integers that are factors of 8592. The greatest factor of 8592 is 8592.

4. How to Find the LCM of 8584 and 8592?

Answer:

Least Common Multiple of 8584 and 8592 = 9219216

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 8592

8592 = 2 x 2 x 2 x 2 x 3 x 179

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

LCM = 9219216 = 2 x 2 x 2 x 2 x 3 x 29 x 37 x 179

Step 4: Therefore, the least common multiple of 8584 and 8592 is 9219216.