Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6587 and 6591 the smallest integer that is 43414917 that is divisible by both numbers.
Least Common Multiple (LCM) of 6587 and 6591 is 43414917.
LCM(6587,6591) = 43414917
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 6587 and 6591. First we will calculate the prime factors of 6587 and 6591.
Prime Factorization of 6587
7 | 6587 |
941 | 941 |
1 |
Prime factors of 6587 are 7,941. Prime factorization of 6587 in exponential form is:
6587 = 71×9411
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6587 and 6591.
LCM(6587,6591) = 31×71×133×9411
LCM(6587,6591) = 43414917
Factors of 6587
List of positive integer factors of 6587 that divides 6587 without a remainder.
1, 7, 941, 6587
Factors of 6591
List of positive integer factors of 6591 that divides 6591 without a remainder.
1, 3, 13, 39, 169, 507, 2197, 6591
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6587 and 6591, than apply into the LCM equation.
GCF(6587,6591) = 1
LCM(6587,6591) = ( 6587 × 6591) / 1
LCM(6587,6591) = 43414917 / 1
LCM(6587,6591) = 43414917
(i) The LCM of 6591 and 6587 is associative
LCM of 6587 and 6591 = LCM of 6591 and 6587
1. What is the LCM of 6587 and 6591?
Answer: LCM of 6587 and 6591 is 43414917.
2. What are the Factors of 6587?
Answer: Factors of 6587 are 1, 7, 941, 6587. There are 4 integers that are factors of 6587. The greatest factor of 6587 is 6587.
3. 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.
4. How to Find the LCM of 6587 and 6591?
Answer:
Least Common Multiple of 6587 and 6591 = 43414917
Step 1: Find the prime factorization of 6587
6587 = 7 x 941
Step 2: Find the prime factorization of 6591
6591 = 3 x 13 x 13 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43414917 = 3 x 7 x 13 x 13 x 13 x 941
Step 4: Therefore, the least common multiple of 6587 and 6591 is 43414917.