Least Common Multiple of 586 and 589
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 586 and 589 the smallest integer that is 345154 that is divisible by both numbers.
Least Common Multiple (LCM) of 586 and 589 is 345154.
LCM(586,589) = 345154
LCM of 586 and 589
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 586 and 589 by Prime method
- Least Common Multiple of 586 and 589 with GCF Formula
LCM of 586 and 589 is 345154
Least common multiple can be found by multiplying the highest exponent prime factors of 586 and 589. First we will calculate the prime factors of 586 and 589.
Prime Factorization of 586
| 2 | 586 |
| 293 | 293 |
| 1 |
Prime factors of 586 are 2,293. Prime factorization of 586 in exponential form is:
586 = 21×2931
Prime Factorization of 589
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 589 are 19,31. Prime factorization of 589 in exponential form is:
589 = 191×311
Now multiplying the highest exponent prime factors to calculate the LCM of 586 and 589.
LCM(586,589) = 21×191×311×2931
LCM(586,589) = 345154
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Least Common Multiple of 586 and 589 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 586 and 589, than apply into the LCM equation.
GCF(586,589) = 1
LCM(586,589) = ( 586 × 589) / 1
LCM(586,589) = 345154 / 1
LCM(586,589) = 345154
Properties of LCM 586 and 589
(i) The LCM of 589 and 586 is associative
LCM of 586 and 589 = LCM of 589 and 586
Related Least Common Multiples of 586
Related Least Common Multiples of 589
Frequently Asked Questions on LCM of 586 and 589
1. What is the LCM of 586 and 589?
Answer: LCM of 586 and 589 is 345154.
2. What are the Factors of 586?
Answer: Factors of 586 are 1, 2, 293, 586. There are 4 integers that are factors of 586. The greatest factor of 586 is 586.
3. What are the Factors of 589?
Answer: Factors of 589 are 1, 19, 31, 589. There are 4 integers that are factors of 589. The greatest factor of 589 is 589.
4. How to Find the LCM of 586 and 589?
Answer:
Least Common Multiple of 586 and 589 = 345154
Step 1: Find the prime factorization of 586
586 = 2 x 293
Step 2: Find the prime factorization of 589
589 = 19 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 345154 = 2 x 19 x 31 x 293
Step 4: Therefore, the least common multiple of 586 and 589 is 345154.
