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 6882 the smallest integer that is 23667198 that is divisible by both numbers.
Least Common Multiple (LCM) of 6878 and 6882 is 23667198.
LCM(6878,6882) = 23667198
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 6882. First we will calculate the prime factors of 6878 and 6882.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 6878 and 6882.
LCM(6878,6882) = 21×31×191×311×371×1811
LCM(6878,6882) = 23667198
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 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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6878 and 6882, than apply into the LCM equation.
GCF(6878,6882) = 2
LCM(6878,6882) = ( 6878 × 6882) / 2
LCM(6878,6882) = 47334396 / 2
LCM(6878,6882) = 23667198
(i) The LCM of 6882 and 6878 is associative
LCM of 6878 and 6882 = LCM of 6882 and 6878
1. What is the LCM of 6878 and 6882?
Answer: LCM of 6878 and 6882 is 23667198.
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 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.
4. How to Find the LCM of 6878 and 6882?
Answer:
Least Common Multiple of 6878 and 6882 = 23667198
Step 1: Find the prime factorization of 6878
6878 = 2 x 19 x 181
Step 2: Find the prime factorization of 6882
6882 = 2 x 3 x 31 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23667198 = 2 x 3 x 19 x 31 x 37 x 181
Step 4: Therefore, the least common multiple of 6878 and 6882 is 23667198.