Least Common Multiple of 6799 and 6806
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6799 and 6806 the smallest integer that is 46273994 that is divisible by both numbers.
Least Common Multiple (LCM) of 6799 and 6806 is 46273994.
LCM(6799,6806) = 46273994
LCM of 6799 and 6806
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6799 and 6806 by Prime method
- Least Common Multiple of 6799 and 6806 with GCF Formula
LCM of 6799 and 6806 is 46273994
Least common multiple can be found by multiplying the highest exponent prime factors of 6799 and 6806. First we will calculate the prime factors of 6799 and 6806.
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
Prime Factorization of 6806
| 2 | 6806 |
| 41 | 3403 |
| 83 | 83 |
| 1 |
Prime factors of 6806 are 2, 41,83. Prime factorization of 6806 in exponential form is:
6806 = 21×411×831
Now multiplying the highest exponent prime factors to calculate the LCM of 6799 and 6806.
LCM(6799,6806) = 21×131×411×831×5231
LCM(6799,6806) = 46273994
Factors of 6799
List of positive integer factors of 6799 that divides 6799 without a remainder.
1, 13, 523, 6799
Factors of 6806
List of positive integer factors of 6806 that divides 6806 without a remainder.
1, 2, 41, 82, 83, 166, 3403, 6806
Least Common Multiple of 6799 and 6806 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6799 and 6806, than apply into the LCM equation.
GCF(6799,6806) = 1
LCM(6799,6806) = ( 6799 × 6806) / 1
LCM(6799,6806) = 46273994 / 1
LCM(6799,6806) = 46273994
Properties of LCM 6799 and 6806
(i) The LCM of 6806 and 6799 is associative
LCM of 6799 and 6806 = LCM of 6806 and 6799
Related Least Common Multiples of 6799
Related Least Common Multiples of 6806
Frequently Asked Questions on LCM of 6799 and 6806
1. What is the LCM of 6799 and 6806?
Answer: LCM of 6799 and 6806 is 46273994.
2. 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.
3. What are the Factors of 6806?
Answer: Factors of 6806 are 1, 2, 41, 82, 83, 166, 3403, 6806. There are 8 integers that are factors of 6806. The greatest factor of 6806 is 6806.
4. How to Find the LCM of 6799 and 6806?
Answer:
Least Common Multiple of 6799 and 6806 = 46273994
Step 1: Find the prime factorization of 6799
6799 = 13 x 523
Step 2: Find the prime factorization of 6806
6806 = 2 x 41 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46273994 = 2 x 13 x 41 x 83 x 523
Step 4: Therefore, the least common multiple of 6799 and 6806 is 46273994.