Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6879 and 6886 the smallest integer that is 47368794 that is divisible by both numbers.
Least Common Multiple (LCM) of 6879 and 6886 is 47368794.
LCM(6879,6886) = 47368794
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 6879 and 6886. First we will calculate the prime factors of 6879 and 6886.
Prime Factorization of 6879
3 | 6879 |
2293 | 2293 |
1 |
Prime factors of 6879 are 3,2293. Prime factorization of 6879 in exponential form is:
6879 = 31×22931
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 6879 and 6886.
LCM(6879,6886) = 21×31×111×3131×22931
LCM(6879,6886) = 47368794
Factors of 6879
List of positive integer factors of 6879 that divides 6879 without a remainder.
1, 3, 2293, 6879
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 6879 and 6886, than apply into the LCM equation.
GCF(6879,6886) = 1
LCM(6879,6886) = ( 6879 × 6886) / 1
LCM(6879,6886) = 47368794 / 1
LCM(6879,6886) = 47368794
(i) The LCM of 6886 and 6879 is associative
LCM of 6879 and 6886 = LCM of 6886 and 6879
1. What is the LCM of 6879 and 6886?
Answer: LCM of 6879 and 6886 is 47368794.
2. What are the Factors of 6879?
Answer: Factors of 6879 are 1, 3, 2293, 6879. There are 4 integers that are factors of 6879. The greatest factor of 6879 is 6879.
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 6879 and 6886?
Answer:
Least Common Multiple of 6879 and 6886 = 47368794
Step 1: Find the prime factorization of 6879
6879 = 3 x 2293
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 = 47368794 = 2 x 3 x 11 x 313 x 2293
Step 4: Therefore, the least common multiple of 6879 and 6886 is 47368794.