Least Common Multiple of 6785 and 6790
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 6790 the smallest integer that is 9214030 that is divisible by both numbers.
Least Common Multiple (LCM) of 6785 and 6790 is 9214030.
LCM(6785,6790) = 9214030
LCM of 6785 and 6790
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6785 and 6790 by Prime method
- Least Common Multiple of 6785 and 6790 with GCF Formula
LCM of 6785 and 6790 is 9214030
Least common multiple can be found by multiplying the highest exponent prime factors of 6785 and 6790. First we will calculate the prime factors of 6785 and 6790.
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 6790
| 2 | 6790 |
| 5 | 3395 |
| 7 | 679 |
| 97 | 97 |
| 1 |
Prime factors of 6790 are 2, 5, 7,97. Prime factorization of 6790 in exponential form is:
6790 = 21×51×71×971
Now multiplying the highest exponent prime factors to calculate the LCM of 6785 and 6790.
LCM(6785,6790) = 21×51×71×231×591×971
LCM(6785,6790) = 9214030
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 6790
List of positive integer factors of 6790 that divides 6790 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 97, 194, 485, 679, 970, 1358, 3395, 6790
Least Common Multiple of 6785 and 6790 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 6790, than apply into the LCM equation.
GCF(6785,6790) = 5
LCM(6785,6790) = ( 6785 × 6790) / 5
LCM(6785,6790) = 46070150 / 5
LCM(6785,6790) = 9214030
Properties of LCM 6785 and 6790
(i) The LCM of 6790 and 6785 is associative
LCM of 6785 and 6790 = LCM of 6790 and 6785
Related Least Common Multiples of 6785
Related Least Common Multiples of 6790
Frequently Asked Questions on LCM of 6785 and 6790
1. What is the LCM of 6785 and 6790?
Answer: LCM of 6785 and 6790 is 9214030.
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 6790?
Answer: Factors of 6790 are 1, 2, 5, 7, 10, 14, 35, 70, 97, 194, 485, 679, 970, 1358, 3395, 6790. There are 16 integers that are factors of 6790. The greatest factor of 6790 is 6790.
4. How to Find the LCM of 6785 and 6790?
Answer:
Least Common Multiple of 6785 and 6790 = 9214030
Step 1: Find the prime factorization of 6785
6785 = 5 x 23 x 59
Step 2: Find the prime factorization of 6790
6790 = 2 x 5 x 7 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9214030 = 2 x 5 x 7 x 23 x 59 x 97
Step 4: Therefore, the least common multiple of 6785 and 6790 is 9214030.