Least Common Multiple of 583 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 583 and 589 the smallest integer that is 343387 that is divisible by both numbers.
Least Common Multiple (LCM) of 583 and 589 is 343387.
LCM(583,589) = 343387
LCM of 583 and 589
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 583 and 589 by Prime method
- Least Common Multiple of 583 and 589 with GCF Formula
LCM of 583 and 589 is 343387
Least common multiple can be found by multiplying the highest exponent prime factors of 583 and 589. First we will calculate the prime factors of 583 and 589.
Prime Factorization of 583
| 11 | 583 |
| 53 | 53 |
| 1 |
Prime factors of 583 are 11,53. Prime factorization of 583 in exponential form is:
583 = 111×531
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 583 and 589.
LCM(583,589) = 111×191×311×531
LCM(583,589) = 343387
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Least Common Multiple of 583 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 583 and 589, than apply into the LCM equation.
GCF(583,589) = 1
LCM(583,589) = ( 583 × 589) / 1
LCM(583,589) = 343387 / 1
LCM(583,589) = 343387
Properties of LCM 583 and 589
(i) The LCM of 589 and 583 is associative
LCM of 583 and 589 = LCM of 589 and 583
Related Least Common Multiples of 583
Related Least Common Multiples of 589
Frequently Asked Questions on LCM of 583 and 589
1. What is the LCM of 583 and 589?
Answer: LCM of 583 and 589 is 343387.
2. What are the Factors of 583?
Answer: Factors of 583 are 1, 11, 53, 583. There are 4 integers that are factors of 583. The greatest factor of 583 is 583.
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 583 and 589?
Answer:
Least Common Multiple of 583 and 589 = 343387
Step 1: Find the prime factorization of 583
583 = 11 x 53
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 = 343387 = 11 x 19 x 31 x 53
Step 4: Therefore, the least common multiple of 583 and 589 is 343387.