Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6875 and 6882 the smallest integer that is 47313750 that is divisible by both numbers.
Least Common Multiple (LCM) of 6875 and 6882 is 47313750.
LCM(6875,6882) = 47313750
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 6875 and 6882. First we will calculate the prime factors of 6875 and 6882.
Prime Factorization of 6875
5 | 6875 |
5 | 1375 |
5 | 275 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 6875 are 5,11. Prime factorization of 6875 in exponential form is:
6875 = 54×111
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 6875 and 6882.
LCM(6875,6882) = 21×31×54×111×311×371
LCM(6875,6882) = 47313750
Factors of 6875
List of positive integer factors of 6875 that divides 6875 without a remainder.
1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875
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 6875 and 6882, than apply into the LCM equation.
GCF(6875,6882) = 1
LCM(6875,6882) = ( 6875 × 6882) / 1
LCM(6875,6882) = 47313750 / 1
LCM(6875,6882) = 47313750
(i) The LCM of 6882 and 6875 is associative
LCM of 6875 and 6882 = LCM of 6882 and 6875
1. What is the LCM of 6875 and 6882?
Answer: LCM of 6875 and 6882 is 47313750.
2. What are the Factors of 6875?
Answer: Factors of 6875 are 1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875. There are 10 integers that are factors of 6875. The greatest factor of 6875 is 6875.
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 6875 and 6882?
Answer:
Least Common Multiple of 6875 and 6882 = 47313750
Step 1: Find the prime factorization of 6875
6875 = 5 x 5 x 5 x 5 x 11
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 = 47313750 = 2 x 3 x 5 x 5 x 5 x 5 x 11 x 31 x 37
Step 4: Therefore, the least common multiple of 6875 and 6882 is 47313750.