Least Common Multiple of 589 and 591
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 591 the smallest integer that is 348099 that is divisible by both numbers.
Least Common Multiple (LCM) of 589 and 591 is 348099.
LCM(589,591) = 348099
LCM of 589 and 591
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 589 and 591 by Prime method
- Least Common Multiple of 589 and 591 with GCF Formula
LCM of 589 and 591 is 348099
Least common multiple can be found by multiplying the highest exponent prime factors of 589 and 591. First we will calculate the prime factors of 589 and 591.
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 591
| 3 | 591 |
| 197 | 197 |
| 1 |
Prime factors of 591 are 3,197. Prime factorization of 591 in exponential form is:
591 = 31×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 589 and 591.
LCM(589,591) = 31×191×311×1971
LCM(589,591) = 348099
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Least Common Multiple of 589 and 591 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 591, than apply into the LCM equation.
GCF(589,591) = 1
LCM(589,591) = ( 589 × 591) / 1
LCM(589,591) = 348099 / 1
LCM(589,591) = 348099
Properties of LCM 589 and 591
(i) The LCM of 591 and 589 is associative
LCM of 589 and 591 = LCM of 591 and 589
Related Least Common Multiples of 589
Related Least Common Multiples of 591
Frequently Asked Questions on LCM of 589 and 591
1. What is the LCM of 589 and 591?
Answer: LCM of 589 and 591 is 348099.
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 591?
Answer: Factors of 591 are 1, 3, 197, 591. There are 4 integers that are factors of 591. The greatest factor of 591 is 591.
4. How to Find the LCM of 589 and 591?
Answer:
Least Common Multiple of 589 and 591 = 348099
Step 1: Find the prime factorization of 589
589 = 19 x 31
Step 2: Find the prime factorization of 591
591 = 3 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 348099 = 3 x 19 x 31 x 197
Step 4: Therefore, the least common multiple of 589 and 591 is 348099.
