Least Common Multiple of 8587 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 8587 and 8591 the smallest integer that is 73770917 that is divisible by both numbers.
Least Common Multiple (LCM) of 8587 and 8591 is 73770917.
LCM(8587,8591) = 73770917
LCM of 8587 and 8591
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8587 and 8591 by Prime method
- Least Common Multiple of 8587 and 8591 with GCF Formula
LCM of 8587 and 8591 is 73770917
Least common multiple can be found by multiplying the highest exponent prime factors of 8587 and 8591. First we will calculate the prime factors of 8587 and 8591.
Prime Factorization of 8587
| 31 | 8587 |
| 277 | 277 |
| 1 |
Prime factors of 8587 are 31,277. Prime factorization of 8587 in exponential form is:
8587 = 311×2771
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 8587 and 8591.
LCM(8587,8591) = 112×311×711×2771
LCM(8587,8591) = 73770917
Factors of 8587
List of positive integer factors of 8587 that divides 8587 without a remainder.
1, 31, 277, 8587
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 8587 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 8587 and 8591, than apply into the LCM equation.
GCF(8587,8591) = 1
LCM(8587,8591) = ( 8587 × 8591) / 1
LCM(8587,8591) = 73770917 / 1
LCM(8587,8591) = 73770917
Properties of LCM 8587 and 8591
(i) The LCM of 8591 and 8587 is associative
LCM of 8587 and 8591 = LCM of 8591 and 8587
Related Least Common Multiples of 8587
Related Least Common Multiples of 8591
Frequently Asked Questions on LCM of 8587 and 8591
1. What is the LCM of 8587 and 8591?
Answer: LCM of 8587 and 8591 is 73770917.
2. What are the Factors of 8587?
Answer: Factors of 8587 are 1, 31, 277, 8587. There are 4 integers that are factors of 8587. The greatest factor of 8587 is 8587.
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 8587 and 8591?
Answer:
Least Common Multiple of 8587 and 8591 = 73770917
Step 1: Find the prime factorization of 8587
8587 = 31 x 277
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 = 73770917 = 11 x 11 x 31 x 71 x 277
Step 4: Therefore, the least common multiple of 8587 and 8591 is 73770917.