Least Common Multiple of 589 and 593
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 589 and 593 the smallest integer that is 349277 that is divisible by both numbers.
Least Common Multiple (LCM) of 589 and 593 is 349277.
LCM(589,593) = 349277
LCM of 589 and 593
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 589 and 593 by Prime method
- Least Common Multiple of 589 and 593 with GCF Formula
LCM of 589 and 593 is 349277
Least common multiple can be found by multiplying the highest exponent prime factors of 589 and 593. First we will calculate the prime factors of 589 and 593.
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
Prime Factorization of 593
| 593 | 593 |
| 1 |
Prime factors of 593 are 593. Prime factorization of 593 in exponential form is:
593 = 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 589 and 593.
LCM(589,593) = 191×311×5931
LCM(589,593) = 349277
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1, 593
Least Common Multiple of 589 and 593 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 589 and 593, than apply into the LCM equation.
GCF(589,593) = 1
LCM(589,593) = ( 589 × 593) / 1
LCM(589,593) = 349277 / 1
LCM(589,593) = 349277
Properties of LCM 589 and 593
(i) The LCM of 593 and 589 is associative
LCM of 589 and 593 = LCM of 593 and 589
Related Least Common Multiples of 589
Related Least Common Multiples of 593
Frequently Asked Questions on LCM of 589 and 593
1. What is the LCM of 589 and 593?
Answer: LCM of 589 and 593 is 349277.
2. 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.
3. What are the Factors of 593?
Answer: Factors of 593 are 1, 593. There are 2 integers that are factors of 593. The greatest factor of 593 is 593.
4. How to Find the LCM of 589 and 593?
Answer:
Least Common Multiple of 589 and 593 = 349277
Step 1: Find the prime factorization of 589
589 = 19 x 31
Step 2: Find the prime factorization of 593
593 = 593
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 349277 = 19 x 31 x 593
Step 4: Therefore, the least common multiple of 589 and 593 is 349277.