Least Common Multiple of 589 and 595
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 595 the smallest integer that is 350455 that is divisible by both numbers.
Least Common Multiple (LCM) of 589 and 595 is 350455.
LCM(589,595) = 350455
LCM of 589 and 595
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 589 and 595 by Prime method
- Least Common Multiple of 589 and 595 with GCF Formula
LCM of 589 and 595 is 350455
Least common multiple can be found by multiplying the highest exponent prime factors of 589 and 595. First we will calculate the prime factors of 589 and 595.
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 595
| 5 | 595 |
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 595 are 5, 7,17. Prime factorization of 595 in exponential form is:
595 = 51×71×171
Now multiplying the highest exponent prime factors to calculate the LCM of 589 and 595.
LCM(589,595) = 51×71×171×191×311
LCM(589,595) = 350455
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Least Common Multiple of 589 and 595 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 595, than apply into the LCM equation.
GCF(589,595) = 1
LCM(589,595) = ( 589 × 595) / 1
LCM(589,595) = 350455 / 1
LCM(589,595) = 350455
Properties of LCM 589 and 595
(i) The LCM of 595 and 589 is associative
LCM of 589 and 595 = LCM of 595 and 589
Related Least Common Multiples of 589
Related Least Common Multiples of 595
Frequently Asked Questions on LCM of 589 and 595
1. What is the LCM of 589 and 595?
Answer: LCM of 589 and 595 is 350455.
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 595?
Answer: Factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595. There are 8 integers that are factors of 595. The greatest factor of 595 is 595.
4. How to Find the LCM of 589 and 595?
Answer:
Least Common Multiple of 589 and 595 = 350455
Step 1: Find the prime factorization of 589
589 = 19 x 31
Step 2: Find the prime factorization of 595
595 = 5 x 7 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 350455 = 5 x 7 x 17 x 19 x 31
Step 4: Therefore, the least common multiple of 589 and 595 is 350455.