Least Common Multiple of 6775 and 6783
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6775 and 6783 the smallest integer that is 45954825 that is divisible by both numbers.
Least Common Multiple (LCM) of 6775 and 6783 is 45954825.
LCM(6775,6783) = 45954825
LCM of 6775 and 6783
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6775 and 6783 by Prime method
- Least Common Multiple of 6775 and 6783 with GCF Formula
LCM of 6775 and 6783 is 45954825
Least common multiple can be found by multiplying the highest exponent prime factors of 6775 and 6783. First we will calculate the prime factors of 6775 and 6783.
Prime Factorization of 6775
| 5 | 6775 |
| 5 | 1355 |
| 271 | 271 |
| 1 |
Prime factors of 6775 are 5,271. Prime factorization of 6775 in exponential form is:
6775 = 52×2711
Prime Factorization of 6783
| 3 | 6783 |
| 7 | 2261 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 6783 are 3, 7, 17,19. Prime factorization of 6783 in exponential form is:
6783 = 31×71×171×191
Now multiplying the highest exponent prime factors to calculate the LCM of 6775 and 6783.
LCM(6775,6783) = 31×52×71×171×191×2711
LCM(6775,6783) = 45954825
Factors of 6775
List of positive integer factors of 6775 that divides 6775 without a remainder.
1, 5, 25, 271, 1355, 6775
Factors of 6783
List of positive integer factors of 6783 that divides 6783 without a remainder.
1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261, 6783
Least Common Multiple of 6775 and 6783 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6775 and 6783, than apply into the LCM equation.
GCF(6775,6783) = 1
LCM(6775,6783) = ( 6775 × 6783) / 1
LCM(6775,6783) = 45954825 / 1
LCM(6775,6783) = 45954825
Properties of LCM 6775 and 6783
(i) The LCM of 6783 and 6775 is associative
LCM of 6775 and 6783 = LCM of 6783 and 6775
Related Least Common Multiples of 6775
Related Least Common Multiples of 6783
Frequently Asked Questions on LCM of 6775 and 6783
1. What is the LCM of 6775 and 6783?
Answer: LCM of 6775 and 6783 is 45954825.
2. What are the Factors of 6775?
Answer: Factors of 6775 are 1, 5, 25, 271, 1355, 6775. There are 6 integers that are factors of 6775. The greatest factor of 6775 is 6775.
3. What are the Factors of 6783?
Answer: Factors of 6783 are 1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261, 6783. There are 16 integers that are factors of 6783. The greatest factor of 6783 is 6783.
4. How to Find the LCM of 6775 and 6783?
Answer:
Least Common Multiple of 6775 and 6783 = 45954825
Step 1: Find the prime factorization of 6775
6775 = 5 x 5 x 271
Step 2: Find the prime factorization of 6783
6783 = 3 x 7 x 17 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45954825 = 3 x 5 x 5 x 7 x 17 x 19 x 271
Step 4: Therefore, the least common multiple of 6775 and 6783 is 45954825.