Least Common Multiple of 6789 and 6793
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6789 and 6793 the smallest integer that is 46117677 that is divisible by both numbers.
Least Common Multiple (LCM) of 6789 and 6793 is 46117677.
LCM(6789,6793) = 46117677
LCM of 6789 and 6793
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6789 and 6793 by Prime method
- Least Common Multiple of 6789 and 6793 with GCF Formula
LCM of 6789 and 6793 is 46117677
Least common multiple can be found by multiplying the highest exponent prime factors of 6789 and 6793. First we will calculate the prime factors of 6789 and 6793.
Prime Factorization of 6789
| 3 | 6789 |
| 31 | 2263 |
| 73 | 73 |
| 1 |
Prime factors of 6789 are 3, 31,73. Prime factorization of 6789 in exponential form is:
6789 = 31×311×731
Prime Factorization of 6793
| 6793 | 6793 |
| 1 |
Prime factors of 6793 are 6793. Prime factorization of 6793 in exponential form is:
6793 = 67931
Now multiplying the highest exponent prime factors to calculate the LCM of 6789 and 6793.
LCM(6789,6793) = 31×311×731×67931
LCM(6789,6793) = 46117677
Factors of 6789
List of positive integer factors of 6789 that divides 6789 without a remainder.
1, 3, 31, 73, 93, 219, 2263, 6789
Factors of 6793
List of positive integer factors of 6793 that divides 6793 without a remainder.
1, 6793
Least Common Multiple of 6789 and 6793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6789 and 6793, than apply into the LCM equation.
GCF(6789,6793) = 1
LCM(6789,6793) = ( 6789 × 6793) / 1
LCM(6789,6793) = 46117677 / 1
LCM(6789,6793) = 46117677
Properties of LCM 6789 and 6793
(i) The LCM of 6793 and 6789 is associative
LCM of 6789 and 6793 = LCM of 6793 and 6789
Related Least Common Multiples of 6789
Related Least Common Multiples of 6793
Frequently Asked Questions on LCM of 6789 and 6793
1. What is the LCM of 6789 and 6793?
Answer: LCM of 6789 and 6793 is 46117677.
2. What are the Factors of 6789?
Answer: Factors of 6789 are 1, 3, 31, 73, 93, 219, 2263, 6789. There are 8 integers that are factors of 6789. The greatest factor of 6789 is 6789.
3. What are the Factors of 6793?
Answer: Factors of 6793 are 1, 6793. There are 2 integers that are factors of 6793. The greatest factor of 6793 is 6793.
4. How to Find the LCM of 6789 and 6793?
Answer:
Least Common Multiple of 6789 and 6793 = 46117677
Step 1: Find the prime factorization of 6789
6789 = 3 x 31 x 73
Step 2: Find the prime factorization of 6793
6793 = 6793
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46117677 = 3 x 31 x 73 x 6793
Step 4: Therefore, the least common multiple of 6789 and 6793 is 46117677.