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 6880 the smallest integer that is 9460000 that is divisible by both numbers.
Least Common Multiple (LCM) of 6875 and 6880 is 9460000.
LCM(6875,6880) = 9460000
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 6880. First we will calculate the prime factors of 6875 and 6880.
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 6880
2 | 6880 |
2 | 3440 |
2 | 1720 |
2 | 860 |
2 | 430 |
5 | 215 |
43 | 43 |
1 |
Prime factors of 6880 are 2, 5,43. Prime factorization of 6880 in exponential form is:
6880 = 25×51×431
Now multiplying the highest exponent prime factors to calculate the LCM of 6875 and 6880.
LCM(6875,6880) = 25×54×111×431
LCM(6875,6880) = 9460000
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 6880
List of positive integer factors of 6880 that divides 6880 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215, 344, 430, 688, 860, 1376, 1720, 3440, 6880
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6875 and 6880, than apply into the LCM equation.
GCF(6875,6880) = 5
LCM(6875,6880) = ( 6875 × 6880) / 5
LCM(6875,6880) = 47300000 / 5
LCM(6875,6880) = 9460000
(i) The LCM of 6880 and 6875 is associative
LCM of 6875 and 6880 = LCM of 6880 and 6875
1. What is the LCM of 6875 and 6880?
Answer: LCM of 6875 and 6880 is 9460000.
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 6880?
Answer: Factors of 6880 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215, 344, 430, 688, 860, 1376, 1720, 3440, 6880. There are 24 integers that are factors of 6880. The greatest factor of 6880 is 6880.
4. How to Find the LCM of 6875 and 6880?
Answer:
Least Common Multiple of 6875 and 6880 = 9460000
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 6880
6880 = 2 x 2 x 2 x 2 x 2 x 5 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9460000 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 11 x 43
Step 4: Therefore, the least common multiple of 6875 and 6880 is 9460000.