Least Common Multiple of 6881 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 6881 and 6887 the smallest integer that is 47389447 that is divisible by both numbers.
Least Common Multiple (LCM) of 6881 and 6887 is 47389447.
LCM(6881,6887) = 47389447
LCM of 6881 and 6887
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6881 and 6887 by Prime method
- Least Common Multiple of 6881 and 6887 with GCF Formula
LCM of 6881 and 6887 is 47389447
Least common multiple can be found by multiplying the highest exponent prime factors of 6881 and 6887. First we will calculate the prime factors of 6881 and 6887.
Prime Factorization of 6881
| 7 | 6881 |
| 983 | 983 |
| 1 |
Prime factors of 6881 are 7,983. Prime factorization of 6881 in exponential form is:
6881 = 71×9831
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 6881 and 6887.
LCM(6881,6887) = 71×711×971×9831
LCM(6881,6887) = 47389447
Factors of 6881
List of positive integer factors of 6881 that divides 6881 without a remainder.
1, 7, 983, 6881
Factors of 6887
List of positive integer factors of 6887 that divides 6887 without a remainder.
1, 71, 97, 6887
Least Common Multiple of 6881 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 6881 and 6887, than apply into the LCM equation.
GCF(6881,6887) = 1
LCM(6881,6887) = ( 6881 × 6887) / 1
LCM(6881,6887) = 47389447 / 1
LCM(6881,6887) = 47389447
Properties of LCM 6881 and 6887
(i) The LCM of 6887 and 6881 is associative
LCM of 6881 and 6887 = LCM of 6887 and 6881
Related Least Common Multiples of 6881
Related Least Common Multiples of 6887
Frequently Asked Questions on LCM of 6881 and 6887
1. What is the LCM of 6881 and 6887?
Answer: LCM of 6881 and 6887 is 47389447.
2. What are the Factors of 6881?
Answer: Factors of 6881 are 1, 7, 983, 6881. There are 4 integers that are factors of 6881. The greatest factor of 6881 is 6881.
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 6881 and 6887?
Answer:
Least Common Multiple of 6881 and 6887 = 47389447
Step 1: Find the prime factorization of 6881
6881 = 7 x 983
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 = 47389447 = 7 x 71 x 97 x 983
Step 4: Therefore, the least common multiple of 6881 and 6887 is 47389447.