Least Common Multiple of 6895 and 6902
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6895 and 6902 the smallest integer that is 6798470 that is divisible by both numbers.
Least Common Multiple (LCM) of 6895 and 6902 is 6798470.
LCM(6895,6902) = 6798470
LCM of 6895 and 6902
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6895 and 6902 by Prime method
- Least Common Multiple of 6895 and 6902 with GCF Formula
LCM of 6895 and 6902 is 6798470
Least common multiple can be found by multiplying the highest exponent prime factors of 6895 and 6902. First we will calculate the prime factors of 6895 and 6902.
Prime Factorization of 6895
| 5 | 6895 |
| 7 | 1379 |
| 197 | 197 |
| 1 |
Prime factors of 6895 are 5, 7,197. Prime factorization of 6895 in exponential form is:
6895 = 51×71×1971
Prime Factorization of 6902
| 2 | 6902 |
| 7 | 3451 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 6902 are 2, 7, 17,29. Prime factorization of 6902 in exponential form is:
6902 = 21×71×171×291
Now multiplying the highest exponent prime factors to calculate the LCM of 6895 and 6902.
LCM(6895,6902) = 21×51×71×171×291×1971
LCM(6895,6902) = 6798470
Factors of 6895
List of positive integer factors of 6895 that divides 6895 without a remainder.
1, 5, 7, 35, 197, 985, 1379, 6895
Factors of 6902
List of positive integer factors of 6902 that divides 6902 without a remainder.
1, 2, 7, 14, 17, 29, 34, 58, 119, 203, 238, 406, 493, 986, 3451, 6902
Least Common Multiple of 6895 and 6902 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6895 and 6902, than apply into the LCM equation.
GCF(6895,6902) = 7
LCM(6895,6902) = ( 6895 × 6902) / 7
LCM(6895,6902) = 47589290 / 7
LCM(6895,6902) = 6798470
Properties of LCM 6895 and 6902
(i) The LCM of 6902 and 6895 is associative
LCM of 6895 and 6902 = LCM of 6902 and 6895
Related Least Common Multiples of 6895
Related Least Common Multiples of 6902
Frequently Asked Questions on LCM of 6895 and 6902
1. What is the LCM of 6895 and 6902?
Answer: LCM of 6895 and 6902 is 6798470.
2. What are the Factors of 6895?
Answer: Factors of 6895 are 1, 5, 7, 35, 197, 985, 1379, 6895. There are 8 integers that are factors of 6895. The greatest factor of 6895 is 6895.
3. What are the Factors of 6902?
Answer: Factors of 6902 are 1, 2, 7, 14, 17, 29, 34, 58, 119, 203, 238, 406, 493, 986, 3451, 6902. There are 16 integers that are factors of 6902. The greatest factor of 6902 is 6902.
4. How to Find the LCM of 6895 and 6902?
Answer:
Least Common Multiple of 6895 and 6902 = 6798470
Step 1: Find the prime factorization of 6895
6895 = 5 x 7 x 197
Step 2: Find the prime factorization of 6902
6902 = 2 x 7 x 17 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6798470 = 2 x 5 x 7 x 17 x 29 x 197
Step 4: Therefore, the least common multiple of 6895 and 6902 is 6798470.