Least Common Multiple of 6859 and 6863
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 6863 the smallest integer that is 47073317 that is divisible by both numbers.
Least Common Multiple (LCM) of 6859 and 6863 is 47073317.
LCM(6859,6863) = 47073317
LCM of 6859 and 6863
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6859 and 6863 by Prime method
- Least Common Multiple of 6859 and 6863 with GCF Formula
LCM of 6859 and 6863 is 47073317
Least common multiple can be found by multiplying the highest exponent prime factors of 6859 and 6863. First we will calculate the prime factors of 6859 and 6863.
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 6863
| 6863 | 6863 |
| 1 |
Prime factors of 6863 are 6863. Prime factorization of 6863 in exponential form is:
6863 = 68631
Now multiplying the highest exponent prime factors to calculate the LCM of 6859 and 6863.
LCM(6859,6863) = 193×68631
LCM(6859,6863) = 47073317
Factors of 6859
List of positive integer factors of 6859 that divides 6859 without a remainder.
1, 19, 361, 6859
Factors of 6863
List of positive integer factors of 6863 that divides 6863 without a remainder.
1, 6863
Least Common Multiple of 6859 and 6863 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 6863, than apply into the LCM equation.
GCF(6859,6863) = 1
LCM(6859,6863) = ( 6859 × 6863) / 1
LCM(6859,6863) = 47073317 / 1
LCM(6859,6863) = 47073317
Properties of LCM 6859 and 6863
(i) The LCM of 6863 and 6859 is associative
LCM of 6859 and 6863 = LCM of 6863 and 6859
Related Least Common Multiples of 6859
Related Least Common Multiples of 6863
Frequently Asked Questions on LCM of 6859 and 6863
1. What is the LCM of 6859 and 6863?
Answer: LCM of 6859 and 6863 is 47073317.
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 6863?
Answer: Factors of 6863 are 1, 6863. There are 2 integers that are factors of 6863. The greatest factor of 6863 is 6863.
4. How to Find the LCM of 6859 and 6863?
Answer:
Least Common Multiple of 6859 and 6863 = 47073317
Step 1: Find the prime factorization of 6859
6859 = 19 x 19 x 19
Step 2: Find the prime factorization of 6863
6863 = 6863
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47073317 = 19 x 19 x 19 x 6863
Step 4: Therefore, the least common multiple of 6859 and 6863 is 47073317.