Least Common Multiple of 6895 and 6897
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 6897 the smallest integer that is 47554815 that is divisible by both numbers.
Least Common Multiple (LCM) of 6895 and 6897 is 47554815.
LCM(6895,6897) = 47554815
LCM of 6895 and 6897
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6895 and 6897 by Prime method
- Least Common Multiple of 6895 and 6897 with GCF Formula
LCM of 6895 and 6897 is 47554815
Least common multiple can be found by multiplying the highest exponent prime factors of 6895 and 6897. First we will calculate the prime factors of 6895 and 6897.
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 6897
| 3 | 6897 |
| 11 | 2299 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 6897 are 3, 11,19. Prime factorization of 6897 in exponential form is:
6897 = 31×112×191
Now multiplying the highest exponent prime factors to calculate the LCM of 6895 and 6897.
LCM(6895,6897) = 31×51×71×112×191×1971
LCM(6895,6897) = 47554815
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 6897
List of positive integer factors of 6897 that divides 6897 without a remainder.
1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299, 6897
Least Common Multiple of 6895 and 6897 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 6897, than apply into the LCM equation.
GCF(6895,6897) = 1
LCM(6895,6897) = ( 6895 × 6897) / 1
LCM(6895,6897) = 47554815 / 1
LCM(6895,6897) = 47554815
Properties of LCM 6895 and 6897
(i) The LCM of 6897 and 6895 is associative
LCM of 6895 and 6897 = LCM of 6897 and 6895
Related Least Common Multiples of 6895
Related Least Common Multiples of 6897
Frequently Asked Questions on LCM of 6895 and 6897
1. What is the LCM of 6895 and 6897?
Answer: LCM of 6895 and 6897 is 47554815.
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 6897?
Answer: Factors of 6897 are 1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299, 6897. There are 12 integers that are factors of 6897. The greatest factor of 6897 is 6897.
4. How to Find the LCM of 6895 and 6897?
Answer:
Least Common Multiple of 6895 and 6897 = 47554815
Step 1: Find the prime factorization of 6895
6895 = 5 x 7 x 197
Step 2: Find the prime factorization of 6897
6897 = 3 x 11 x 11 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47554815 = 3 x 5 x 7 x 11 x 11 x 19 x 197
Step 4: Therefore, the least common multiple of 6895 and 6897 is 47554815.