Least Common Multiple of 6786 and 6791
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6786 and 6791 the smallest integer that is 46083726 that is divisible by both numbers.
Least Common Multiple (LCM) of 6786 and 6791 is 46083726.
LCM(6786,6791) = 46083726
LCM of 6786 and 6791
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6786 and 6791 by Prime method
- Least Common Multiple of 6786 and 6791 with GCF Formula
LCM of 6786 and 6791 is 46083726
Least common multiple can be found by multiplying the highest exponent prime factors of 6786 and 6791. First we will calculate the prime factors of 6786 and 6791.
Prime Factorization of 6786
| 2 | 6786 |
| 3 | 3393 |
| 3 | 1131 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 6786 are 2, 3, 13,29. Prime factorization of 6786 in exponential form is:
6786 = 21×32×131×291
Prime Factorization of 6791
| 6791 | 6791 |
| 1 |
Prime factors of 6791 are 6791. Prime factorization of 6791 in exponential form is:
6791 = 67911
Now multiplying the highest exponent prime factors to calculate the LCM of 6786 and 6791.
LCM(6786,6791) = 21×32×131×291×67911
LCM(6786,6791) = 46083726
Factors of 6786
List of positive integer factors of 6786 that divides 6786 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393, 6786
Factors of 6791
List of positive integer factors of 6791 that divides 6791 without a remainder.
1, 6791
Least Common Multiple of 6786 and 6791 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6786 and 6791, than apply into the LCM equation.
GCF(6786,6791) = 1
LCM(6786,6791) = ( 6786 × 6791) / 1
LCM(6786,6791) = 46083726 / 1
LCM(6786,6791) = 46083726
Properties of LCM 6786 and 6791
(i) The LCM of 6791 and 6786 is associative
LCM of 6786 and 6791 = LCM of 6791 and 6786
Related Least Common Multiples of 6786
Related Least Common Multiples of 6791
Frequently Asked Questions on LCM of 6786 and 6791
1. What is the LCM of 6786 and 6791?
Answer: LCM of 6786 and 6791 is 46083726.
2. What are the Factors of 6786?
Answer: Factors of 6786 are 1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393, 6786. There are 24 integers that are factors of 6786. The greatest factor of 6786 is 6786.
3. What are the Factors of 6791?
Answer: Factors of 6791 are 1, 6791. There are 2 integers that are factors of 6791. The greatest factor of 6791 is 6791.
4. How to Find the LCM of 6786 and 6791?
Answer:
Least Common Multiple of 6786 and 6791 = 46083726
Step 1: Find the prime factorization of 6786
6786 = 2 x 3 x 3 x 13 x 29
Step 2: Find the prime factorization of 6791
6791 = 6791
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46083726 = 2 x 3 x 3 x 13 x 29 x 6791
Step 4: Therefore, the least common multiple of 6786 and 6791 is 46083726.