Least Common Multiple of 6887 and 6891
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6887 and 6891 the smallest integer that is 47458317 that is divisible by both numbers.
Least Common Multiple (LCM) of 6887 and 6891 is 47458317.
LCM(6887,6891) = 47458317
LCM of 6887 and 6891
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6887 and 6891 by Prime method
- Least Common Multiple of 6887 and 6891 with GCF Formula
LCM of 6887 and 6891 is 47458317
Least common multiple can be found by multiplying the highest exponent prime factors of 6887 and 6891. First we will calculate the prime factors of 6887 and 6891.
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
Prime Factorization of 6891
| 3 | 6891 |
| 2297 | 2297 |
| 1 |
Prime factors of 6891 are 3,2297. Prime factorization of 6891 in exponential form is:
6891 = 31×22971
Now multiplying the highest exponent prime factors to calculate the LCM of 6887 and 6891.
LCM(6887,6891) = 31×711×971×22971
LCM(6887,6891) = 47458317
Factors of 6887
List of positive integer factors of 6887 that divides 6887 without a remainder.
1, 71, 97, 6887
Factors of 6891
List of positive integer factors of 6891 that divides 6891 without a remainder.
1, 3, 2297, 6891
Least Common Multiple of 6887 and 6891 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6887 and 6891, than apply into the LCM equation.
GCF(6887,6891) = 1
LCM(6887,6891) = ( 6887 × 6891) / 1
LCM(6887,6891) = 47458317 / 1
LCM(6887,6891) = 47458317
Properties of LCM 6887 and 6891
(i) The LCM of 6891 and 6887 is associative
LCM of 6887 and 6891 = LCM of 6891 and 6887
Related Least Common Multiples of 6887
Related Least Common Multiples of 6891
Frequently Asked Questions on LCM of 6887 and 6891
1. What is the LCM of 6887 and 6891?
Answer: LCM of 6887 and 6891 is 47458317.
2. 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.
3. What are the Factors of 6891?
Answer: Factors of 6891 are 1, 3, 2297, 6891. There are 4 integers that are factors of 6891. The greatest factor of 6891 is 6891.
4. How to Find the LCM of 6887 and 6891?
Answer:
Least Common Multiple of 6887 and 6891 = 47458317
Step 1: Find the prime factorization of 6887
6887 = 71 x 97
Step 2: Find the prime factorization of 6891
6891 = 3 x 2297
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47458317 = 3 x 71 x 97 x 2297
Step 4: Therefore, the least common multiple of 6887 and 6891 is 47458317.