Least Common Multiple of 6859 and 6865
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6859 and 6865 the smallest integer that is 47087035 that is divisible by both numbers.
Least Common Multiple (LCM) of 6859 and 6865 is 47087035.
LCM(6859,6865) = 47087035
LCM of 6859 and 6865
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6859 and 6865 by Prime method
- Least Common Multiple of 6859 and 6865 with GCF Formula
LCM of 6859 and 6865 is 47087035
Least common multiple can be found by multiplying the highest exponent prime factors of 6859 and 6865. First we will calculate the prime factors of 6859 and 6865.
Prime Factorization of 6859
| 19 | 6859 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 6859 are 19. Prime factorization of 6859 in exponential form is:
6859 = 193
Prime Factorization of 6865
| 5 | 6865 |
| 1373 | 1373 |
| 1 |
Prime factors of 6865 are 5,1373. Prime factorization of 6865 in exponential form is:
6865 = 51×13731
Now multiplying the highest exponent prime factors to calculate the LCM of 6859 and 6865.
LCM(6859,6865) = 51×193×13731
LCM(6859,6865) = 47087035
Factors of 6859
List of positive integer factors of 6859 that divides 6859 without a remainder.
1, 19, 361, 6859
Factors of 6865
List of positive integer factors of 6865 that divides 6865 without a remainder.
1, 5, 1373, 6865
Least Common Multiple of 6859 and 6865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6859 and 6865, than apply into the LCM equation.
GCF(6859,6865) = 1
LCM(6859,6865) = ( 6859 × 6865) / 1
LCM(6859,6865) = 47087035 / 1
LCM(6859,6865) = 47087035
Properties of LCM 6859 and 6865
(i) The LCM of 6865 and 6859 is associative
LCM of 6859 and 6865 = LCM of 6865 and 6859
Related Least Common Multiples of 6859
Related Least Common Multiples of 6865
Frequently Asked Questions on LCM of 6859 and 6865
1. What is the LCM of 6859 and 6865?
Answer: LCM of 6859 and 6865 is 47087035.
2. What are the Factors of 6859?
Answer: Factors of 6859 are 1, 19, 361, 6859. There are 4 integers that are factors of 6859. The greatest factor of 6859 is 6859.
3. What are the Factors of 6865?
Answer: Factors of 6865 are 1, 5, 1373, 6865. There are 4 integers that are factors of 6865. The greatest factor of 6865 is 6865.
4. How to Find the LCM of 6859 and 6865?
Answer:
Least Common Multiple of 6859 and 6865 = 47087035
Step 1: Find the prime factorization of 6859
6859 = 19 x 19 x 19
Step 2: Find the prime factorization of 6865
6865 = 5 x 1373
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47087035 = 5 x 19 x 19 x 19 x 1373
Step 4: Therefore, the least common multiple of 6859 and 6865 is 47087035.