Least Common Multiple of 6807 and 6815
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6807 and 6815 the smallest integer that is 46389705 that is divisible by both numbers.
Least Common Multiple (LCM) of 6807 and 6815 is 46389705.
LCM(6807,6815) = 46389705
LCM of 6807 and 6815
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6807 and 6815 by Prime method
- Least Common Multiple of 6807 and 6815 with GCF Formula
LCM of 6807 and 6815 is 46389705
Least common multiple can be found by multiplying the highest exponent prime factors of 6807 and 6815. First we will calculate the prime factors of 6807 and 6815.
Prime Factorization of 6807
| 3 | 6807 |
| 2269 | 2269 |
| 1 |
Prime factors of 6807 are 3,2269. Prime factorization of 6807 in exponential form is:
6807 = 31×22691
Prime Factorization of 6815
| 5 | 6815 |
| 29 | 1363 |
| 47 | 47 |
| 1 |
Prime factors of 6815 are 5, 29,47. Prime factorization of 6815 in exponential form is:
6815 = 51×291×471
Now multiplying the highest exponent prime factors to calculate the LCM of 6807 and 6815.
LCM(6807,6815) = 31×51×291×471×22691
LCM(6807,6815) = 46389705
Factors of 6807
List of positive integer factors of 6807 that divides 6807 without a remainder.
1, 3, 2269, 6807
Factors of 6815
List of positive integer factors of 6815 that divides 6815 without a remainder.
1, 5, 29, 47, 145, 235, 1363, 6815
Least Common Multiple of 6807 and 6815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6807 and 6815, than apply into the LCM equation.
GCF(6807,6815) = 1
LCM(6807,6815) = ( 6807 × 6815) / 1
LCM(6807,6815) = 46389705 / 1
LCM(6807,6815) = 46389705
Properties of LCM 6807 and 6815
(i) The LCM of 6815 and 6807 is associative
LCM of 6807 and 6815 = LCM of 6815 and 6807
Related Least Common Multiples of 6807
Related Least Common Multiples of 6815
Frequently Asked Questions on LCM of 6807 and 6815
1. What is the LCM of 6807 and 6815?
Answer: LCM of 6807 and 6815 is 46389705.
2. What are the Factors of 6807?
Answer: Factors of 6807 are 1, 3, 2269, 6807. There are 4 integers that are factors of 6807. The greatest factor of 6807 is 6807.
3. What are the Factors of 6815?
Answer: Factors of 6815 are 1, 5, 29, 47, 145, 235, 1363, 6815. There are 8 integers that are factors of 6815. The greatest factor of 6815 is 6815.
4. How to Find the LCM of 6807 and 6815?
Answer:
Least Common Multiple of 6807 and 6815 = 46389705
Step 1: Find the prime factorization of 6807
6807 = 3 x 2269
Step 2: Find the prime factorization of 6815
6815 = 5 x 29 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46389705 = 3 x 5 x 29 x 47 x 2269
Step 4: Therefore, the least common multiple of 6807 and 6815 is 46389705.