Least Common Multiple of 6885 and 6887
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6885 and 6887 the smallest integer that is 47416995 that is divisible by both numbers.
Least Common Multiple (LCM) of 6885 and 6887 is 47416995.
LCM(6885,6887) = 47416995
LCM of 6885 and 6887
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6885 and 6887 by Prime method
- Least Common Multiple of 6885 and 6887 with GCF Formula
LCM of 6885 and 6887 is 47416995
Least common multiple can be found by multiplying the highest exponent prime factors of 6885 and 6887. First we will calculate the prime factors of 6885 and 6887.
Prime Factorization of 6885
| 3 | 6885 |
| 3 | 2295 |
| 3 | 765 |
| 3 | 255 |
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 6885 are 3, 5,17. Prime factorization of 6885 in exponential form is:
6885 = 34×51×171
Prime Factorization of 6887
| 71 | 6887 |
| 97 | 97 |
| 1 |
Prime factors of 6887 are 71,97. Prime factorization of 6887 in exponential form is:
6887 = 711×971
Now multiplying the highest exponent prime factors to calculate the LCM of 6885 and 6887.
LCM(6885,6887) = 34×51×171×711×971
LCM(6885,6887) = 47416995
Factors of 6885
List of positive integer factors of 6885 that divides 6885 without a remainder.
1, 3, 5, 9, 15, 17, 27, 45, 51, 81, 85, 135, 153, 255, 405, 459, 765, 1377, 2295, 6885
Factors of 6887
List of positive integer factors of 6887 that divides 6887 without a remainder.
1, 71, 97, 6887
Least Common Multiple of 6885 and 6887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6885 and 6887, than apply into the LCM equation.
GCF(6885,6887) = 1
LCM(6885,6887) = ( 6885 × 6887) / 1
LCM(6885,6887) = 47416995 / 1
LCM(6885,6887) = 47416995
Properties of LCM 6885 and 6887
(i) The LCM of 6887 and 6885 is associative
LCM of 6885 and 6887 = LCM of 6887 and 6885
Related Least Common Multiples of 6885
Related Least Common Multiples of 6887
Frequently Asked Questions on LCM of 6885 and 6887
1. What is the LCM of 6885 and 6887?
Answer: LCM of 6885 and 6887 is 47416995.
2. What are the Factors of 6885?
Answer: Factors of 6885 are 1, 3, 5, 9, 15, 17, 27, 45, 51, 81, 85, 135, 153, 255, 405, 459, 765, 1377, 2295, 6885. There are 20 integers that are factors of 6885. The greatest factor of 6885 is 6885.
3. What are the Factors of 6887?
Answer: Factors of 6887 are 1, 71, 97, 6887. There are 4 integers that are factors of 6887. The greatest factor of 6887 is 6887.
4. How to Find the LCM of 6885 and 6887?
Answer:
Least Common Multiple of 6885 and 6887 = 47416995
Step 1: Find the prime factorization of 6885
6885 = 3 x 3 x 3 x 3 x 5 x 17
Step 2: Find the prime factorization of 6887
6887 = 71 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47416995 = 3 x 3 x 3 x 3 x 5 x 17 x 71 x 97
Step 4: Therefore, the least common multiple of 6885 and 6887 is 47416995.