Least Common Multiple of 6794 and 6799
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6794 and 6799 the smallest integer that is 46192406 that is divisible by both numbers.
Least Common Multiple (LCM) of 6794 and 6799 is 46192406.
LCM(6794,6799) = 46192406
LCM of 6794 and 6799
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6794 and 6799 by Prime method
- Least Common Multiple of 6794 and 6799 with GCF Formula
LCM of 6794 and 6799 is 46192406
Least common multiple can be found by multiplying the highest exponent prime factors of 6794 and 6799. First we will calculate the prime factors of 6794 and 6799.
Prime Factorization of 6794
| 2 | 6794 |
| 43 | 3397 |
| 79 | 79 |
| 1 |
Prime factors of 6794 are 2, 43,79. Prime factorization of 6794 in exponential form is:
6794 = 21×431×791
Prime Factorization of 6799
| 13 | 6799 |
| 523 | 523 |
| 1 |
Prime factors of 6799 are 13,523. Prime factorization of 6799 in exponential form is:
6799 = 131×5231
Now multiplying the highest exponent prime factors to calculate the LCM of 6794 and 6799.
LCM(6794,6799) = 21×131×431×791×5231
LCM(6794,6799) = 46192406
Factors of 6794
List of positive integer factors of 6794 that divides 6794 without a remainder.
1, 2, 43, 79, 86, 158, 3397, 6794
Factors of 6799
List of positive integer factors of 6799 that divides 6799 without a remainder.
1, 13, 523, 6799
Least Common Multiple of 6794 and 6799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6794 and 6799, than apply into the LCM equation.
GCF(6794,6799) = 1
LCM(6794,6799) = ( 6794 × 6799) / 1
LCM(6794,6799) = 46192406 / 1
LCM(6794,6799) = 46192406
Properties of LCM 6794 and 6799
(i) The LCM of 6799 and 6794 is associative
LCM of 6794 and 6799 = LCM of 6799 and 6794
Related Least Common Multiples of 6794
Related Least Common Multiples of 6799
Frequently Asked Questions on LCM of 6794 and 6799
1. What is the LCM of 6794 and 6799?
Answer: LCM of 6794 and 6799 is 46192406.
2. What are the Factors of 6794?
Answer: Factors of 6794 are 1, 2, 43, 79, 86, 158, 3397, 6794. There are 8 integers that are factors of 6794. The greatest factor of 6794 is 6794.
3. What are the Factors of 6799?
Answer: Factors of 6799 are 1, 13, 523, 6799. There are 4 integers that are factors of 6799. The greatest factor of 6799 is 6799.
4. How to Find the LCM of 6794 and 6799?
Answer:
Least Common Multiple of 6794 and 6799 = 46192406
Step 1: Find the prime factorization of 6794
6794 = 2 x 43 x 79
Step 2: Find the prime factorization of 6799
6799 = 13 x 523
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46192406 = 2 x 13 x 43 x 79 x 523
Step 4: Therefore, the least common multiple of 6794 and 6799 is 46192406.