Least Common Multiple of 6890 and 6895
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6890 and 6895 the smallest integer that is 9501310 that is divisible by both numbers.
Least Common Multiple (LCM) of 6890 and 6895 is 9501310.
LCM(6890,6895) = 9501310
LCM of 6890 and 6895
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6890 and 6895 by Prime method
- Least Common Multiple of 6890 and 6895 with GCF Formula
LCM of 6890 and 6895 is 9501310
Least common multiple can be found by multiplying the highest exponent prime factors of 6890 and 6895. First we will calculate the prime factors of 6890 and 6895.
Prime Factorization of 6890
| 2 | 6890 |
| 5 | 3445 |
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 6890 are 2, 5, 13,53. Prime factorization of 6890 in exponential form is:
6890 = 21×51×131×531
Prime Factorization of 6895
| 5 | 6895 |
| 7 | 1379 |
| 197 | 197 |
| 1 |
Prime factors of 6895 are 5, 7,197. Prime factorization of 6895 in exponential form is:
6895 = 51×71×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 6890 and 6895.
LCM(6890,6895) = 21×51×71×131×531×1971
LCM(6890,6895) = 9501310
Factors of 6890
List of positive integer factors of 6890 that divides 6890 without a remainder.
1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 265, 530, 689, 1378, 3445, 6890
Factors of 6895
List of positive integer factors of 6895 that divides 6895 without a remainder.
1, 5, 7, 35, 197, 985, 1379, 6895
Least Common Multiple of 6890 and 6895 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6890 and 6895, than apply into the LCM equation.
GCF(6890,6895) = 5
LCM(6890,6895) = ( 6890 × 6895) / 5
LCM(6890,6895) = 47506550 / 5
LCM(6890,6895) = 9501310
Properties of LCM 6890 and 6895
(i) The LCM of 6895 and 6890 is associative
LCM of 6890 and 6895 = LCM of 6895 and 6890
Related Least Common Multiples of 6890
Related Least Common Multiples of 6895
Frequently Asked Questions on LCM of 6890 and 6895
1. What is the LCM of 6890 and 6895?
Answer: LCM of 6890 and 6895 is 9501310.
2. What are the Factors of 6890?
Answer: Factors of 6890 are 1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 265, 530, 689, 1378, 3445, 6890. There are 16 integers that are factors of 6890. The greatest factor of 6890 is 6890.
3. What are the Factors of 6895?
Answer: Factors of 6895 are 1, 5, 7, 35, 197, 985, 1379, 6895. There are 8 integers that are factors of 6895. The greatest factor of 6895 is 6895.
4. How to Find the LCM of 6890 and 6895?
Answer:
Least Common Multiple of 6890 and 6895 = 9501310
Step 1: Find the prime factorization of 6890
6890 = 2 x 5 x 13 x 53
Step 2: Find the prime factorization of 6895
6895 = 5 x 7 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9501310 = 2 x 5 x 7 x 13 x 53 x 197
Step 4: Therefore, the least common multiple of 6890 and 6895 is 9501310.