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 6778 the smallest integer that is 45920950 that is divisible by both numbers.
Least Common Multiple (LCM) of 6775 and 6778 is 45920950.
LCM(6775,6778) = 45920950
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6775 and 6778. First we will calculate the prime factors of 6775 and 6778.
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 6778
2 | 6778 |
3389 | 3389 |
1 |
Prime factors of 6778 are 2,3389. Prime factorization of 6778 in exponential form is:
6778 = 21×33891
Now multiplying the highest exponent prime factors to calculate the LCM of 6775 and 6778.
LCM(6775,6778) = 21×52×2711×33891
LCM(6775,6778) = 45920950
Factors of 6775
List of positive integer factors of 6775 that divides 6775 without a remainder.
1, 5, 25, 271, 1355, 6775
Factors of 6778
List of positive integer factors of 6778 that divides 6778 without a remainder.
1, 2, 3389, 6778
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6775 and 6778, than apply into the LCM equation.
GCF(6775,6778) = 1
LCM(6775,6778) = ( 6775 × 6778) / 1
LCM(6775,6778) = 45920950 / 1
LCM(6775,6778) = 45920950
(i) The LCM of 6778 and 6775 is associative
LCM of 6775 and 6778 = LCM of 6778 and 6775
1. What is the LCM of 6775 and 6778?
Answer: LCM of 6775 and 6778 is 45920950.
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 6778?
Answer: Factors of 6778 are 1, 2, 3389, 6778. There are 4 integers that are factors of 6778. The greatest factor of 6778 is 6778.
4. How to Find the LCM of 6775 and 6778?
Answer:
Least Common Multiple of 6775 and 6778 = 45920950
Step 1: Find the prime factorization of 6775
6775 = 5 x 5 x 271
Step 2: Find the prime factorization of 6778
6778 = 2 x 3389
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45920950 = 2 x 5 x 5 x 271 x 3389
Step 4: Therefore, the least common multiple of 6775 and 6778 is 45920950.