Least Common Multiple of 6882 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 6882 and 6887 the smallest integer that is 47396334 that is divisible by both numbers.
Least Common Multiple (LCM) of 6882 and 6887 is 47396334.
LCM(6882,6887) = 47396334
LCM of 6882 and 6887
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6882 and 6887 by Prime method
- Least Common Multiple of 6882 and 6887 with GCF Formula
LCM of 6882 and 6887 is 47396334
Least common multiple can be found by multiplying the highest exponent prime factors of 6882 and 6887. First we will calculate the prime factors of 6882 and 6887.
Prime Factorization of 6882
| 2 | 6882 |
| 3 | 3441 |
| 31 | 1147 |
| 37 | 37 |
| 1 |
Prime factors of 6882 are 2, 3, 31,37. Prime factorization of 6882 in exponential form is:
6882 = 21×31×311×371
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 6882 and 6887.
LCM(6882,6887) = 21×31×311×371×711×971
LCM(6882,6887) = 47396334
Factors of 6882
List of positive integer factors of 6882 that divides 6882 without a remainder.
1, 2, 3, 6, 31, 37, 62, 74, 93, 111, 186, 222, 1147, 2294, 3441, 6882
Factors of 6887
List of positive integer factors of 6887 that divides 6887 without a remainder.
1, 71, 97, 6887
Least Common Multiple of 6882 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 6882 and 6887, than apply into the LCM equation.
GCF(6882,6887) = 1
LCM(6882,6887) = ( 6882 × 6887) / 1
LCM(6882,6887) = 47396334 / 1
LCM(6882,6887) = 47396334
Properties of LCM 6882 and 6887
(i) The LCM of 6887 and 6882 is associative
LCM of 6882 and 6887 = LCM of 6887 and 6882
Related Least Common Multiples of 6882
Related Least Common Multiples of 6887
Frequently Asked Questions on LCM of 6882 and 6887
1. What is the LCM of 6882 and 6887?
Answer: LCM of 6882 and 6887 is 47396334.
2. What are the Factors of 6882?
Answer: Factors of 6882 are 1, 2, 3, 6, 31, 37, 62, 74, 93, 111, 186, 222, 1147, 2294, 3441, 6882. There are 16 integers that are factors of 6882. The greatest factor of 6882 is 6882.
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 6882 and 6887?
Answer:
Least Common Multiple of 6882 and 6887 = 47396334
Step 1: Find the prime factorization of 6882
6882 = 2 x 3 x 31 x 37
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 = 47396334 = 2 x 3 x 31 x 37 x 71 x 97
Step 4: Therefore, the least common multiple of 6882 and 6887 is 47396334.