Least Common Multiple of 6785 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 6785 and 6791 the smallest integer that is 46076935 that is divisible by both numbers.
Least Common Multiple (LCM) of 6785 and 6791 is 46076935.
LCM(6785,6791) = 46076935
LCM of 6785 and 6791
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6785 and 6791 by Prime method
- Least Common Multiple of 6785 and 6791 with GCF Formula
LCM of 6785 and 6791 is 46076935
Least common multiple can be found by multiplying the highest exponent prime factors of 6785 and 6791. First we will calculate the prime factors of 6785 and 6791.
Prime Factorization of 6785
| 5 | 6785 |
| 23 | 1357 |
| 59 | 59 |
| 1 |
Prime factors of 6785 are 5, 23,59. Prime factorization of 6785 in exponential form is:
6785 = 51×231×591
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 6785 and 6791.
LCM(6785,6791) = 51×231×591×67911
LCM(6785,6791) = 46076935
Factors of 6785
List of positive integer factors of 6785 that divides 6785 without a remainder.
1, 5, 23, 59, 115, 295, 1357, 6785
Factors of 6791
List of positive integer factors of 6791 that divides 6791 without a remainder.
1, 6791
Least Common Multiple of 6785 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 6785 and 6791, than apply into the LCM equation.
GCF(6785,6791) = 1
LCM(6785,6791) = ( 6785 × 6791) / 1
LCM(6785,6791) = 46076935 / 1
LCM(6785,6791) = 46076935
Properties of LCM 6785 and 6791
(i) The LCM of 6791 and 6785 is associative
LCM of 6785 and 6791 = LCM of 6791 and 6785
Related Least Common Multiples of 6785
Related Least Common Multiples of 6791
Frequently Asked Questions on LCM of 6785 and 6791
1. What is the LCM of 6785 and 6791?
Answer: LCM of 6785 and 6791 is 46076935.
2. What are the Factors of 6785?
Answer: Factors of 6785 are 1, 5, 23, 59, 115, 295, 1357, 6785. There are 8 integers that are factors of 6785. The greatest factor of 6785 is 6785.
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 6785 and 6791?
Answer:
Least Common Multiple of 6785 and 6791 = 46076935
Step 1: Find the prime factorization of 6785
6785 = 5 x 23 x 59
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 = 46076935 = 5 x 23 x 59 x 6791
Step 4: Therefore, the least common multiple of 6785 and 6791 is 46076935.