Least Common Multiple of 588 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 588 and 589 the smallest integer that is 346332 that is divisible by both numbers.
Least Common Multiple (LCM) of 588 and 589 is 346332.
LCM(588,589) = 346332
LCM of 588 and 589
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 588 and 589 by Prime method
- Least Common Multiple of 588 and 589 with GCF Formula
LCM of 588 and 589 is 346332
Least common multiple can be found by multiplying the highest exponent prime factors of 588 and 589. First we will calculate the prime factors of 588 and 589.
Prime Factorization of 588
| 2 | 588 |
| 2 | 294 |
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 588 are 2, 3,7. Prime factorization of 588 in exponential form is:
588 = 22×31×72
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 588 and 589.
LCM(588,589) = 22×31×72×191×311
LCM(588,589) = 346332
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Least Common Multiple of 588 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 588 and 589, than apply into the LCM equation.
GCF(588,589) = 1
LCM(588,589) = ( 588 × 589) / 1
LCM(588,589) = 346332 / 1
LCM(588,589) = 346332
Properties of LCM 588 and 589
(i) The LCM of 589 and 588 is associative
LCM of 588 and 589 = LCM of 589 and 588
Related Least Common Multiples of 588
Related Least Common Multiples of 589
Frequently Asked Questions on LCM of 588 and 589
1. What is the LCM of 588 and 589?
Answer: LCM of 588 and 589 is 346332.
2. What are the Factors of 588?
Answer: Factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588. There are 18 integers that are factors of 588. The greatest factor of 588 is 588.
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 588 and 589?
Answer:
Least Common Multiple of 588 and 589 = 346332
Step 1: Find the prime factorization of 588
588 = 2 x 2 x 3 x 7 x 7
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 = 346332 = 2 x 2 x 3 x 7 x 7 x 19 x 31
Step 4: Therefore, the least common multiple of 588 and 589 is 346332.