Least Common Multiple of 591 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 591 and 595 the smallest integer that is 351645 that is divisible by both numbers.
Least Common Multiple (LCM) of 591 and 595 is 351645.
LCM(591,595) = 351645
LCM of 591 and 595
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 591 and 595 by Prime method
- Least Common Multiple of 591 and 595 with GCF Formula
LCM of 591 and 595 is 351645
Least common multiple can be found by multiplying the highest exponent prime factors of 591 and 595. First we will calculate the prime factors of 591 and 595.
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
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 591 and 595.
LCM(591,595) = 31×51×71×171×1971
LCM(591,595) = 351645
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1, 3, 197, 591
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 591 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 591 and 595, than apply into the LCM equation.
GCF(591,595) = 1
LCM(591,595) = ( 591 × 595) / 1
LCM(591,595) = 351645 / 1
LCM(591,595) = 351645
Properties of LCM 591 and 595
(i) The LCM of 595 and 591 is associative
LCM of 591 and 595 = LCM of 595 and 591
Related Least Common Multiples of 591
Related Least Common Multiples of 595
Frequently Asked Questions on LCM of 591 and 595
1. What is the LCM of 591 and 595?
Answer: LCM of 591 and 595 is 351645.
2. 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.
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 591 and 595?
Answer:
Least Common Multiple of 591 and 595 = 351645
Step 1: Find the prime factorization of 591
591 = 3 x 197
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 = 351645 = 3 x 5 x 7 x 17 x 197
Step 4: Therefore, the least common multiple of 591 and 595 is 351645.
