Least Common Multiple of 6887 and 6889
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 6889 the smallest integer that is 47444543 that is divisible by both numbers.
Least Common Multiple (LCM) of 6887 and 6889 is 47444543.
LCM(6887,6889) = 47444543
LCM of 6887 and 6889
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6887 and 6889 by Prime method
- Least Common Multiple of 6887 and 6889 with GCF Formula
LCM of 6887 and 6889 is 47444543
Least common multiple can be found by multiplying the highest exponent prime factors of 6887 and 6889. First we will calculate the prime factors of 6887 and 6889.
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 6889
| 83 | 6889 |
| 83 | 83 |
| 1 |
Prime factors of 6889 are 83. Prime factorization of 6889 in exponential form is:
6889 = 832
Now multiplying the highest exponent prime factors to calculate the LCM of 6887 and 6889.
LCM(6887,6889) = 711×832×971
LCM(6887,6889) = 47444543
Factors of 6887
List of positive integer factors of 6887 that divides 6887 without a remainder.
1, 71, 97, 6887
Factors of 6889
List of positive integer factors of 6889 that divides 6889 without a remainder.
1, 83, 6889
Least Common Multiple of 6887 and 6889 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 6889, than apply into the LCM equation.
GCF(6887,6889) = 1
LCM(6887,6889) = ( 6887 × 6889) / 1
LCM(6887,6889) = 47444543 / 1
LCM(6887,6889) = 47444543
Properties of LCM 6887 and 6889
(i) The LCM of 6889 and 6887 is associative
LCM of 6887 and 6889 = LCM of 6889 and 6887
Related Least Common Multiples of 6887
Related Least Common Multiples of 6889
Frequently Asked Questions on LCM of 6887 and 6889
1. What is the LCM of 6887 and 6889?
Answer: LCM of 6887 and 6889 is 47444543.
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 6889?
Answer: Factors of 6889 are 1, 83, 6889. There are 3 integers that are factors of 6889. The greatest factor of 6889 is 6889.
4. How to Find the LCM of 6887 and 6889?
Answer:
Least Common Multiple of 6887 and 6889 = 47444543
Step 1: Find the prime factorization of 6887
6887 = 71 x 97
Step 2: Find the prime factorization of 6889
6889 = 83 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47444543 = 71 x 83 x 83 x 97
Step 4: Therefore, the least common multiple of 6887 and 6889 is 47444543.
