Least Common Multiple of 588 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 588 and 591 the smallest integer that is 115836 that is divisible by both numbers.
Least Common Multiple (LCM) of 588 and 591 is 115836.
LCM(588,591) = 115836
LCM of 588 and 591
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 588 and 591 by Prime method
- Least Common Multiple of 588 and 591 with GCF Formula
LCM of 588 and 591 is 115836
Least common multiple can be found by multiplying the highest exponent prime factors of 588 and 591. First we will calculate the prime factors of 588 and 591.
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 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 588 and 591.
LCM(588,591) = 22×31×72×1971
LCM(588,591) = 115836
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 591
List of positive integer factors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Least Common Multiple of 588 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 588 and 591, than apply into the LCM equation.
GCF(588,591) = 3
LCM(588,591) = ( 588 × 591) / 3
LCM(588,591) = 347508 / 3
LCM(588,591) = 115836
Properties of LCM 588 and 591
(i) The LCM of 591 and 588 is associative
LCM of 588 and 591 = LCM of 591 and 588
Related Least Common Multiples of 588
Related Least Common Multiples of 591
Frequently Asked Questions on LCM of 588 and 591
1. What is the LCM of 588 and 591?
Answer: LCM of 588 and 591 is 115836.
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 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 588 and 591?
Answer:
Least Common Multiple of 588 and 591 = 115836
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 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 = 115836 = 2 x 2 x 3 x 7 x 7 x 197
Step 4: Therefore, the least common multiple of 588 and 591 is 115836.
