Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6878 and 6886 the smallest integer that is 23680954 that is divisible by both numbers.
Least Common Multiple (LCM) of 6878 and 6886 is 23680954.
LCM(6878,6886) = 23680954
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6878 and 6886. First we will calculate the prime factors of 6878 and 6886.
Prime Factorization of 6878
2 | 6878 |
19 | 3439 |
181 | 181 |
1 |
Prime factors of 6878 are 2, 19,181. Prime factorization of 6878 in exponential form is:
6878 = 21×191×1811
Prime Factorization of 6886
2 | 6886 |
11 | 3443 |
313 | 313 |
1 |
Prime factors of 6886 are 2, 11,313. Prime factorization of 6886 in exponential form is:
6886 = 21×111×3131
Now multiplying the highest exponent prime factors to calculate the LCM of 6878 and 6886.
LCM(6878,6886) = 21×111×191×1811×3131
LCM(6878,6886) = 23680954
Factors of 6878
List of positive integer factors of 6878 that divides 6878 without a remainder.
1, 2, 19, 38, 181, 362, 3439, 6878
Factors of 6886
List of positive integer factors of 6886 that divides 6886 without a remainder.
1, 2, 11, 22, 313, 626, 3443, 6886
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6878 and 6886, than apply into the LCM equation.
GCF(6878,6886) = 2
LCM(6878,6886) = ( 6878 × 6886) / 2
LCM(6878,6886) = 47361908 / 2
LCM(6878,6886) = 23680954
(i) The LCM of 6886 and 6878 is associative
LCM of 6878 and 6886 = LCM of 6886 and 6878
1. What is the LCM of 6878 and 6886?
Answer: LCM of 6878 and 6886 is 23680954.
2. What are the Factors of 6878?
Answer: Factors of 6878 are 1, 2, 19, 38, 181, 362, 3439, 6878. There are 8 integers that are factors of 6878. The greatest factor of 6878 is 6878.
3. What are the Factors of 6886?
Answer: Factors of 6886 are 1, 2, 11, 22, 313, 626, 3443, 6886. There are 8 integers that are factors of 6886. The greatest factor of 6886 is 6886.
4. How to Find the LCM of 6878 and 6886?
Answer:
Least Common Multiple of 6878 and 6886 = 23680954
Step 1: Find the prime factorization of 6878
6878 = 2 x 19 x 181
Step 2: Find the prime factorization of 6886
6886 = 2 x 11 x 313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23680954 = 2 x 11 x 19 x 181 x 313
Step 4: Therefore, the least common multiple of 6878 and 6886 is 23680954.