Least Common Multiple of 6815 and 6823
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6815 and 6823 the smallest integer that is 46498745 that is divisible by both numbers.
Least Common Multiple (LCM) of 6815 and 6823 is 46498745.
LCM(6815,6823) = 46498745
LCM of 6815 and 6823
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6815 and 6823 by Prime method
- Least Common Multiple of 6815 and 6823 with GCF Formula
LCM of 6815 and 6823 is 46498745
Least common multiple can be found by multiplying the highest exponent prime factors of 6815 and 6823. First we will calculate the prime factors of 6815 and 6823.
Prime Factorization of 6815
| 5 | 6815 |
| 29 | 1363 |
| 47 | 47 |
| 1 |
Prime factors of 6815 are 5, 29,47. Prime factorization of 6815 in exponential form is:
6815 = 51×291×471
Prime Factorization of 6823
| 6823 | 6823 |
| 1 |
Prime factors of 6823 are 6823. Prime factorization of 6823 in exponential form is:
6823 = 68231
Now multiplying the highest exponent prime factors to calculate the LCM of 6815 and 6823.
LCM(6815,6823) = 51×291×471×68231
LCM(6815,6823) = 46498745
Factors of 6815
List of positive integer factors of 6815 that divides 6815 without a remainder.
1, 5, 29, 47, 145, 235, 1363, 6815
Factors of 6823
List of positive integer factors of 6823 that divides 6823 without a remainder.
1, 6823
Least Common Multiple of 6815 and 6823 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6815 and 6823, than apply into the LCM equation.
GCF(6815,6823) = 1
LCM(6815,6823) = ( 6815 × 6823) / 1
LCM(6815,6823) = 46498745 / 1
LCM(6815,6823) = 46498745
Properties of LCM 6815 and 6823
(i) The LCM of 6823 and 6815 is associative
LCM of 6815 and 6823 = LCM of 6823 and 6815
Related Least Common Multiples of 6815
Related Least Common Multiples of 6823
Frequently Asked Questions on LCM of 6815 and 6823
1. What is the LCM of 6815 and 6823?
Answer: LCM of 6815 and 6823 is 46498745.
2. What are the Factors of 6815?
Answer: Factors of 6815 are 1, 5, 29, 47, 145, 235, 1363, 6815. There are 8 integers that are factors of 6815. The greatest factor of 6815 is 6815.
3. What are the Factors of 6823?
Answer: Factors of 6823 are 1, 6823. There are 2 integers that are factors of 6823. The greatest factor of 6823 is 6823.
4. How to Find the LCM of 6815 and 6823?
Answer:
Least Common Multiple of 6815 and 6823 = 46498745
Step 1: Find the prime factorization of 6815
6815 = 5 x 29 x 47
Step 2: Find the prime factorization of 6823
6823 = 6823
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46498745 = 5 x 29 x 47 x 6823
Step 4: Therefore, the least common multiple of 6815 and 6823 is 46498745.