Least Common Multiple of 6895 and 6901
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 6901 the smallest integer that is 47582395 that is divisible by both numbers.
Least Common Multiple (LCM) of 6895 and 6901 is 47582395.
LCM(6895,6901) = 47582395
LCM of 6895 and 6901
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6895 and 6901 by Prime method
- Least Common Multiple of 6895 and 6901 with GCF Formula
LCM of 6895 and 6901 is 47582395
Least common multiple can be found by multiplying the highest exponent prime factors of 6895 and 6901. First we will calculate the prime factors of 6895 and 6901.
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 6901
| 67 | 6901 |
| 103 | 103 |
| 1 |
Prime factors of 6901 are 67,103. Prime factorization of 6901 in exponential form is:
6901 = 671×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 6895 and 6901.
LCM(6895,6901) = 51×71×671×1031×1971
LCM(6895,6901) = 47582395
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 6901
List of positive integer factors of 6901 that divides 6901 without a remainder.
1, 67, 103, 6901
Least Common Multiple of 6895 and 6901 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 6901, than apply into the LCM equation.
GCF(6895,6901) = 1
LCM(6895,6901) = ( 6895 × 6901) / 1
LCM(6895,6901) = 47582395 / 1
LCM(6895,6901) = 47582395
Properties of LCM 6895 and 6901
(i) The LCM of 6901 and 6895 is associative
LCM of 6895 and 6901 = LCM of 6901 and 6895
Related Least Common Multiples of 6895
Related Least Common Multiples of 6901
Frequently Asked Questions on LCM of 6895 and 6901
1. What is the LCM of 6895 and 6901?
Answer: LCM of 6895 and 6901 is 47582395.
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 6901?
Answer: Factors of 6901 are 1, 67, 103, 6901. There are 4 integers that are factors of 6901. The greatest factor of 6901 is 6901.
4. How to Find the LCM of 6895 and 6901?
Answer:
Least Common Multiple of 6895 and 6901 = 47582395
Step 1: Find the prime factorization of 6895
6895 = 5 x 7 x 197
Step 2: Find the prime factorization of 6901
6901 = 67 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47582395 = 5 x 7 x 67 x 103 x 197
Step 4: Therefore, the least common multiple of 6895 and 6901 is 47582395.