Least Common Multiple of 591 and 599
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 599 the smallest integer that is 354009 that is divisible by both numbers.
Least Common Multiple (LCM) of 591 and 599 is 354009.
LCM(591,599) = 354009
LCM of 591 and 599
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 591 and 599 by Prime method
- Least Common Multiple of 591 and 599 with GCF Formula
LCM of 591 and 599 is 354009
Least common multiple can be found by multiplying the highest exponent prime factors of 591 and 599. First we will calculate the prime factors of 591 and 599.
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 599
| 599 | 599 |
| 1 |
Prime factors of 599 are 599. Prime factorization of 599 in exponential form is:
599 = 5991
Now multiplying the highest exponent prime factors to calculate the LCM of 591 and 599.
LCM(591,599) = 31×1971×5991
LCM(591,599) = 354009
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1, 599
Least Common Multiple of 591 and 599 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 599, than apply into the LCM equation.
GCF(591,599) = 1
LCM(591,599) = ( 591 × 599) / 1
LCM(591,599) = 354009 / 1
LCM(591,599) = 354009
Properties of LCM 591 and 599
(i) The LCM of 599 and 591 is associative
LCM of 591 and 599 = LCM of 599 and 591
Related Least Common Multiples of 591
Related Least Common Multiples of 599
Frequently Asked Questions on LCM of 591 and 599
1. What is the LCM of 591 and 599?
Answer: LCM of 591 and 599 is 354009.
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 599?
Answer: Factors of 599 are 1, 599. There are 2 integers that are factors of 599. The greatest factor of 599 is 599.
4. How to Find the LCM of 591 and 599?
Answer:
Least Common Multiple of 591 and 599 = 354009
Step 1: Find the prime factorization of 591
591 = 3 x 197
Step 2: Find the prime factorization of 599
599 = 599
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 354009 = 3 x 197 x 599
Step 4: Therefore, the least common multiple of 591 and 599 is 354009.