Least Common Multiple of 6895 and 6903
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6895 and 6903 the smallest integer that is 47596185 that is divisible by both numbers.
Least Common Multiple (LCM) of 6895 and 6903 is 47596185.
LCM(6895,6903) = 47596185
LCM of 6895 and 6903
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6895 and 6903 by Prime method
- Least Common Multiple of 6895 and 6903 with GCF Formula
LCM of 6895 and 6903 is 47596185
Least common multiple can be found by multiplying the highest exponent prime factors of 6895 and 6903. First we will calculate the prime factors of 6895 and 6903.
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
Prime Factorization of 6903
| 3 | 6903 |
| 3 | 2301 |
| 13 | 767 |
| 59 | 59 |
| 1 |
Prime factors of 6903 are 3, 13,59. Prime factorization of 6903 in exponential form is:
6903 = 32×131×591
Now multiplying the highest exponent prime factors to calculate the LCM of 6895 and 6903.
LCM(6895,6903) = 32×51×71×131×591×1971
LCM(6895,6903) = 47596185
Factors of 6895
List of positive integer factors of 6895 that divides 6895 without a remainder.
1, 5, 7, 35, 197, 985, 1379, 6895
Factors of 6903
List of positive integer factors of 6903 that divides 6903 without a remainder.
1, 3, 9, 13, 39, 59, 117, 177, 531, 767, 2301, 6903
Least Common Multiple of 6895 and 6903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6895 and 6903, than apply into the LCM equation.
GCF(6895,6903) = 1
LCM(6895,6903) = ( 6895 × 6903) / 1
LCM(6895,6903) = 47596185 / 1
LCM(6895,6903) = 47596185
Properties of LCM 6895 and 6903
(i) The LCM of 6903 and 6895 is associative
LCM of 6895 and 6903 = LCM of 6903 and 6895
Related Least Common Multiples of 6895
Related Least Common Multiples of 6903
Frequently Asked Questions on LCM of 6895 and 6903
1. What is the LCM of 6895 and 6903?
Answer: LCM of 6895 and 6903 is 47596185.
2. 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.
3. What are the Factors of 6903?
Answer: Factors of 6903 are 1, 3, 9, 13, 39, 59, 117, 177, 531, 767, 2301, 6903. There are 12 integers that are factors of 6903. The greatest factor of 6903 is 6903.
4. How to Find the LCM of 6895 and 6903?
Answer:
Least Common Multiple of 6895 and 6903 = 47596185
Step 1: Find the prime factorization of 6895
6895 = 5 x 7 x 197
Step 2: Find the prime factorization of 6903
6903 = 3 x 3 x 13 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47596185 = 3 x 3 x 5 x 7 x 13 x 59 x 197
Step 4: Therefore, the least common multiple of 6895 and 6903 is 47596185.