Least Common Multiple of 6777 and 6785
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6777 and 6785 the smallest integer that is 45981945 that is divisible by both numbers.
Least Common Multiple (LCM) of 6777 and 6785 is 45981945.
LCM(6777,6785) = 45981945
LCM of 6777 and 6785
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6777 and 6785 by Prime method
- Least Common Multiple of 6777 and 6785 with GCF Formula
LCM of 6777 and 6785 is 45981945
Least common multiple can be found by multiplying the highest exponent prime factors of 6777 and 6785. First we will calculate the prime factors of 6777 and 6785.
Prime Factorization of 6777
| 3 | 6777 |
| 3 | 2259 |
| 3 | 753 |
| 251 | 251 |
| 1 |
Prime factors of 6777 are 3,251. Prime factorization of 6777 in exponential form is:
6777 = 33×2511
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6777 and 6785.
LCM(6777,6785) = 33×51×231×591×2511
LCM(6777,6785) = 45981945
Factors of 6777
List of positive integer factors of 6777 that divides 6777 without a remainder.
1, 3, 9, 27, 251, 753, 2259, 6777
Factors of 6785
List of positive integer factors of 6785 that divides 6785 without a remainder.
1, 5, 23, 59, 115, 295, 1357, 6785
Least Common Multiple of 6777 and 6785 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6777 and 6785, than apply into the LCM equation.
GCF(6777,6785) = 1
LCM(6777,6785) = ( 6777 × 6785) / 1
LCM(6777,6785) = 45981945 / 1
LCM(6777,6785) = 45981945
Properties of LCM 6777 and 6785
(i) The LCM of 6785 and 6777 is associative
LCM of 6777 and 6785 = LCM of 6785 and 6777
Related Least Common Multiples of 6777
Related Least Common Multiples of 6785
Frequently Asked Questions on LCM of 6777 and 6785
1. What is the LCM of 6777 and 6785?
Answer: LCM of 6777 and 6785 is 45981945.
2. What are the Factors of 6777?
Answer: Factors of 6777 are 1, 3, 9, 27, 251, 753, 2259, 6777. There are 8 integers that are factors of 6777. The greatest factor of 6777 is 6777.
3. 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.
4. How to Find the LCM of 6777 and 6785?
Answer:
Least Common Multiple of 6777 and 6785 = 45981945
Step 1: Find the prime factorization of 6777
6777 = 3 x 3 x 3 x 251
Step 2: Find the prime factorization of 6785
6785 = 5 x 23 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45981945 = 3 x 3 x 3 x 5 x 23 x 59 x 251
Step 4: Therefore, the least common multiple of 6777 and 6785 is 45981945.