Least Common Multiple of 8584 and 8591

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 8591 the smallest integer that is 73745144 that is divisible by both numbers.

Least Common Multiple (LCM) of 8584 and 8591 is 73745144.

LCM(8584,8591) = 73745144

LCM of 8584 and 8591

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

LCM of:
and

Least Common Multiple of 8584 and 8591

LCM of 8584 and 8591 is 73745144

Least common multiple can be found by multiplying the highest exponent prime factors of 8584 and 8591. First we will calculate the prime factors of 8584 and 8591.

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 8591


11 8591
11 781
71 71
1

Prime factors of 8591 are 11,71. Prime factorization of 8591 in exponential form is:

8591 = 112×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8584 and 8591.

LCM(8584,8591) = 23×112×291×371×711
LCM(8584,8591) = 73745144

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 8591

List of positive integer factors of 8591 that divides 8591 without a remainder.

1, 11, 71, 121, 781, 8591

Least Common Multiple of 8584 and 8591 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 8591, than apply into the LCM equation.

GCF(8584,8591) = 1
LCM(8584,8591) = ( 8584 × 8591) / 1
LCM(8584,8591) = 73745144 / 1
LCM(8584,8591) = 73745144

Properties of LCM 8584 and 8591

(i) The LCM of 8591 and 8584 is associative

LCM of 8584 and 8591 = LCM of 8591 and 8584

Frequently Asked Questions on LCM of 8584 and 8591

1. What is the LCM of 8584 and 8591?

Answer: LCM of 8584 and 8591 is 73745144.

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 8591?

Answer: Factors of 8591 are 1, 11, 71, 121, 781, 8591. There are 6 integers that are factors of 8591. The greatest factor of 8591 is 8591.

4. How to Find the LCM of 8584 and 8591?

Answer:

Least Common Multiple of 8584 and 8591 = 73745144

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 8591

8591 = 11 x 11 x 71

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

LCM = 73745144 = 2 x 2 x 2 x 11 x 11 x 29 x 37 x 71

Step 4: Therefore, the least common multiple of 8584 and 8591 is 73745144.