Least Common Multiple of 6897 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 6897 and 6901 the smallest integer that is 47596197 that is divisible by both numbers.
Least Common Multiple (LCM) of 6897 and 6901 is 47596197.
LCM(6897,6901) = 47596197
LCM of 6897 and 6901
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6897 and 6901 by Prime method
- Least Common Multiple of 6897 and 6901 with GCF Formula
LCM of 6897 and 6901 is 47596197
Least common multiple can be found by multiplying the highest exponent prime factors of 6897 and 6901. First we will calculate the prime factors of 6897 and 6901.
Prime Factorization of 6897
| 3 | 6897 |
| 11 | 2299 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 6897 are 3, 11,19. Prime factorization of 6897 in exponential form is:
6897 = 31×112×191
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 6897 and 6901.
LCM(6897,6901) = 31×112×191×671×1031
LCM(6897,6901) = 47596197
Factors of 6897
List of positive integer factors of 6897 that divides 6897 without a remainder.
1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299, 6897
Factors of 6901
List of positive integer factors of 6901 that divides 6901 without a remainder.
1, 67, 103, 6901
Least Common Multiple of 6897 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 6897 and 6901, than apply into the LCM equation.
GCF(6897,6901) = 1
LCM(6897,6901) = ( 6897 × 6901) / 1
LCM(6897,6901) = 47596197 / 1
LCM(6897,6901) = 47596197
Properties of LCM 6897 and 6901
(i) The LCM of 6901 and 6897 is associative
LCM of 6897 and 6901 = LCM of 6901 and 6897
Related Least Common Multiples of 6897
Related Least Common Multiples of 6901
Frequently Asked Questions on LCM of 6897 and 6901
1. What is the LCM of 6897 and 6901?
Answer: LCM of 6897 and 6901 is 47596197.
2. What are the Factors of 6897?
Answer: Factors of 6897 are 1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299, 6897. There are 12 integers that are factors of 6897. The greatest factor of 6897 is 6897.
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 6897 and 6901?
Answer:
Least Common Multiple of 6897 and 6901 = 47596197
Step 1: Find the prime factorization of 6897
6897 = 3 x 11 x 11 x 19
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 = 47596197 = 3 x 11 x 11 x 19 x 67 x 103
Step 4: Therefore, the least common multiple of 6897 and 6901 is 47596197.
