Least Common Multiple of 6785 and 6789
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6785 and 6789 the smallest integer that is 46063365 that is divisible by both numbers.
Least Common Multiple (LCM) of 6785 and 6789 is 46063365.
LCM(6785,6789) = 46063365
LCM of 6785 and 6789
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6785 and 6789 by Prime method
- Least Common Multiple of 6785 and 6789 with GCF Formula
LCM of 6785 and 6789 is 46063365
Least common multiple can be found by multiplying the highest exponent prime factors of 6785 and 6789. First we will calculate the prime factors of 6785 and 6789.
Prime Factorization of 6785
| 5 | 6785 |
| 23 | 1357 |
| 59 | 59 |
| 1 |
Prime factors of 6785 are 5, 23,59. Prime factorization of 6785 in exponential form is:
6785 = 51×231×591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6785 and 6789.
LCM(6785,6789) = 31×51×231×311×591×731
LCM(6785,6789) = 46063365
Factors of 6785
List of positive integer factors of 6785 that divides 6785 without a remainder.
1, 5, 23, 59, 115, 295, 1357, 6785
Factors of 6789
List of positive integer factors of 6789 that divides 6789 without a remainder.
1, 3, 31, 73, 93, 219, 2263, 6789
Least Common Multiple of 6785 and 6789 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6785 and 6789, than apply into the LCM equation.
GCF(6785,6789) = 1
LCM(6785,6789) = ( 6785 × 6789) / 1
LCM(6785,6789) = 46063365 / 1
LCM(6785,6789) = 46063365
Properties of LCM 6785 and 6789
(i) The LCM of 6789 and 6785 is associative
LCM of 6785 and 6789 = LCM of 6789 and 6785
Related Least Common Multiples of 6785
Related Least Common Multiples of 6789
Frequently Asked Questions on LCM of 6785 and 6789
1. What is the LCM of 6785 and 6789?
Answer: LCM of 6785 and 6789 is 46063365.
2. What are the Factors of 6785?
Answer: Factors of 6785 are 1, 5, 23, 59, 115, 295, 1357, 6785. There are 8 integers that are factors of 6785. The greatest factor of 6785 is 6785.
3. 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.
4. How to Find the LCM of 6785 and 6789?
Answer:
Least Common Multiple of 6785 and 6789 = 46063365
Step 1: Find the prime factorization of 6785
6785 = 5 x 23 x 59
Step 2: Find the prime factorization of 6789
6789 = 3 x 31 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46063365 = 3 x 5 x 23 x 31 x 59 x 73
Step 4: Therefore, the least common multiple of 6785 and 6789 is 46063365.