Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6591 and 6599 the smallest integer that is 43494009 that is divisible by both numbers.
Least Common Multiple (LCM) of 6591 and 6599 is 43494009.
LCM(6591,6599) = 43494009
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6591 and 6599. First we will calculate the prime factors of 6591 and 6599.
Prime Factorization of 6591
3 | 6591 |
13 | 2197 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 6591 are 3,13. Prime factorization of 6591 in exponential form is:
6591 = 31×133
Prime Factorization of 6599
6599 | 6599 |
1 |
Prime factors of 6599 are 6599. Prime factorization of 6599 in exponential form is:
6599 = 65991
Now multiplying the highest exponent prime factors to calculate the LCM of 6591 and 6599.
LCM(6591,6599) = 31×133×65991
LCM(6591,6599) = 43494009
Factors of 6591
List of positive integer factors of 6591 that divides 6591 without a remainder.
1, 3, 13, 39, 169, 507, 2197, 6591
Factors of 6599
List of positive integer factors of 6599 that divides 6599 without a remainder.
1, 6599
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6591 and 6599, than apply into the LCM equation.
GCF(6591,6599) = 1
LCM(6591,6599) = ( 6591 × 6599) / 1
LCM(6591,6599) = 43494009 / 1
LCM(6591,6599) = 43494009
(i) The LCM of 6599 and 6591 is associative
LCM of 6591 and 6599 = LCM of 6599 and 6591
1. What is the LCM of 6591 and 6599?
Answer: LCM of 6591 and 6599 is 43494009.
2. What are the Factors of 6591?
Answer: Factors of 6591 are 1, 3, 13, 39, 169, 507, 2197, 6591. There are 8 integers that are factors of 6591. The greatest factor of 6591 is 6591.
3. What are the Factors of 6599?
Answer: Factors of 6599 are 1, 6599. There are 2 integers that are factors of 6599. The greatest factor of 6599 is 6599.
4. How to Find the LCM of 6591 and 6599?
Answer:
Least Common Multiple of 6591 and 6599 = 43494009
Step 1: Find the prime factorization of 6591
6591 = 3 x 13 x 13 x 13
Step 2: Find the prime factorization of 6599
6599 = 6599
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43494009 = 3 x 13 x 13 x 13 x 6599
Step 4: Therefore, the least common multiple of 6591 and 6599 is 43494009.