Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6874 and 6878 the smallest integer that is 23639686 that is divisible by both numbers.
Least Common Multiple (LCM) of 6874 and 6878 is 23639686.
LCM(6874,6878) = 23639686
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 6874 and 6878. First we will calculate the prime factors of 6874 and 6878.
Prime Factorization of 6874
2 | 6874 |
7 | 3437 |
491 | 491 |
1 |
Prime factors of 6874 are 2, 7,491. Prime factorization of 6874 in exponential form is:
6874 = 21×71×4911
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6874 and 6878.
LCM(6874,6878) = 21×71×191×1811×4911
LCM(6874,6878) = 23639686
Factors of 6874
List of positive integer factors of 6874 that divides 6874 without a remainder.
1, 2, 7, 14, 491, 982, 3437, 6874
Factors of 6878
List of positive integer factors of 6878 that divides 6878 without a remainder.
1, 2, 19, 38, 181, 362, 3439, 6878
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6874 and 6878, than apply into the LCM equation.
GCF(6874,6878) = 2
LCM(6874,6878) = ( 6874 × 6878) / 2
LCM(6874,6878) = 47279372 / 2
LCM(6874,6878) = 23639686
(i) The LCM of 6878 and 6874 is associative
LCM of 6874 and 6878 = LCM of 6878 and 6874
1. What is the LCM of 6874 and 6878?
Answer: LCM of 6874 and 6878 is 23639686.
2. What are the Factors of 6874?
Answer: Factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874. There are 8 integers that are factors of 6874. The greatest factor of 6874 is 6874.
3. 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.
4. How to Find the LCM of 6874 and 6878?
Answer:
Least Common Multiple of 6874 and 6878 = 23639686
Step 1: Find the prime factorization of 6874
6874 = 2 x 7 x 491
Step 2: Find the prime factorization of 6878
6878 = 2 x 19 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 23639686 = 2 x 7 x 19 x 181 x 491
Step 4: Therefore, the least common multiple of 6874 and 6878 is 23639686.