Least Common Multiple of 6794 and 6801
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 6801 the smallest integer that is 46205994 that is divisible by both numbers.
Least Common Multiple (LCM) of 6794 and 6801 is 46205994.
LCM(6794,6801) = 46205994
LCM of 6794 and 6801
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6794 and 6801 by Prime method
- Least Common Multiple of 6794 and 6801 with GCF Formula
LCM of 6794 and 6801 is 46205994
Least common multiple can be found by multiplying the highest exponent prime factors of 6794 and 6801. First we will calculate the prime factors of 6794 and 6801.
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 6801
| 3 | 6801 |
| 2267 | 2267 |
| 1 |
Prime factors of 6801 are 3,2267. Prime factorization of 6801 in exponential form is:
6801 = 31×22671
Now multiplying the highest exponent prime factors to calculate the LCM of 6794 and 6801.
LCM(6794,6801) = 21×31×431×791×22671
LCM(6794,6801) = 46205994
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 6801
List of positive integer factors of 6801 that divides 6801 without a remainder.
1, 3, 2267, 6801
Least Common Multiple of 6794 and 6801 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 6801, than apply into the LCM equation.
GCF(6794,6801) = 1
LCM(6794,6801) = ( 6794 × 6801) / 1
LCM(6794,6801) = 46205994 / 1
LCM(6794,6801) = 46205994
Properties of LCM 6794 and 6801
(i) The LCM of 6801 and 6794 is associative
LCM of 6794 and 6801 = LCM of 6801 and 6794
Related Least Common Multiples of 6794
Related Least Common Multiples of 6801
Frequently Asked Questions on LCM of 6794 and 6801
1. What is the LCM of 6794 and 6801?
Answer: LCM of 6794 and 6801 is 46205994.
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 6801?
Answer: Factors of 6801 are 1, 3, 2267, 6801. There are 4 integers that are factors of 6801. The greatest factor of 6801 is 6801.
4. How to Find the LCM of 6794 and 6801?
Answer:
Least Common Multiple of 6794 and 6801 = 46205994
Step 1: Find the prime factorization of 6794
6794 = 2 x 43 x 79
Step 2: Find the prime factorization of 6801
6801 = 3 x 2267
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46205994 = 2 x 3 x 43 x 79 x 2267
Step 4: Therefore, the least common multiple of 6794 and 6801 is 46205994.