Least Common Multiple of 6889 and 6897
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6889 and 6897 the smallest integer that is 47513433 that is divisible by both numbers.
Least Common Multiple (LCM) of 6889 and 6897 is 47513433.
LCM(6889,6897) = 47513433
LCM of 6889 and 6897
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6889 and 6897 by Prime method
- Least Common Multiple of 6889 and 6897 with GCF Formula
LCM of 6889 and 6897 is 47513433
Least common multiple can be found by multiplying the highest exponent prime factors of 6889 and 6897. First we will calculate the prime factors of 6889 and 6897.
Prime Factorization of 6889
| 83 | 6889 |
| 83 | 83 |
| 1 |
Prime factors of 6889 are 83. Prime factorization of 6889 in exponential form is:
6889 = 832
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6889 and 6897.
LCM(6889,6897) = 31×112×191×832
LCM(6889,6897) = 47513433
Factors of 6889
List of positive integer factors of 6889 that divides 6889 without a remainder.
1, 83, 6889
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
Least Common Multiple of 6889 and 6897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6889 and 6897, than apply into the LCM equation.
GCF(6889,6897) = 1
LCM(6889,6897) = ( 6889 × 6897) / 1
LCM(6889,6897) = 47513433 / 1
LCM(6889,6897) = 47513433
Properties of LCM 6889 and 6897
(i) The LCM of 6897 and 6889 is associative
LCM of 6889 and 6897 = LCM of 6897 and 6889
Related Least Common Multiples of 6889
Related Least Common Multiples of 6897
Frequently Asked Questions on LCM of 6889 and 6897
1. What is the LCM of 6889 and 6897?
Answer: LCM of 6889 and 6897 is 47513433.
2. What are the Factors of 6889?
Answer: Factors of 6889 are 1, 83, 6889. There are 3 integers that are factors of 6889. The greatest factor of 6889 is 6889.
3. 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.
4. How to Find the LCM of 6889 and 6897?
Answer:
Least Common Multiple of 6889 and 6897 = 47513433
Step 1: Find the prime factorization of 6889
6889 = 83 x 83
Step 2: Find the prime factorization of 6897
6897 = 3 x 11 x 11 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47513433 = 3 x 11 x 11 x 19 x 83 x 83
Step 4: Therefore, the least common multiple of 6889 and 6897 is 47513433.