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 6598 the smallest integer that is 43487418 that is divisible by both numbers.
Least Common Multiple (LCM) of 6591 and 6598 is 43487418.
LCM(6591,6598) = 43487418
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 6598. First we will calculate the prime factors of 6591 and 6598.
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 6598
2 | 6598 |
3299 | 3299 |
1 |
Prime factors of 6598 are 2,3299. Prime factorization of 6598 in exponential form is:
6598 = 21×32991
Now multiplying the highest exponent prime factors to calculate the LCM of 6591 and 6598.
LCM(6591,6598) = 21×31×133×32991
LCM(6591,6598) = 43487418
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 6598
List of positive integer factors of 6598 that divides 6598 without a remainder.
1, 2, 3299, 6598
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6591 and 6598, than apply into the LCM equation.
GCF(6591,6598) = 1
LCM(6591,6598) = ( 6591 × 6598) / 1
LCM(6591,6598) = 43487418 / 1
LCM(6591,6598) = 43487418
(i) The LCM of 6598 and 6591 is associative
LCM of 6591 and 6598 = LCM of 6598 and 6591
1. What is the LCM of 6591 and 6598?
Answer: LCM of 6591 and 6598 is 43487418.
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 6598?
Answer: Factors of 6598 are 1, 2, 3299, 6598. There are 4 integers that are factors of 6598. The greatest factor of 6598 is 6598.
4. How to Find the LCM of 6591 and 6598?
Answer:
Least Common Multiple of 6591 and 6598 = 43487418
Step 1: Find the prime factorization of 6591
6591 = 3 x 13 x 13 x 13
Step 2: Find the prime factorization of 6598
6598 = 2 x 3299
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43487418 = 2 x 3 x 13 x 13 x 13 x 3299
Step 4: Therefore, the least common multiple of 6591 and 6598 is 43487418.