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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 8591 and 8584 is associative
LCM of 8584 and 8591 = LCM of 8591 and 8584
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.