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 6778 the smallest integer that is 45934506 that is divisible by both numbers.
Least Common Multiple (LCM) of 6777 and 6778 is 45934506.
LCM(6777,6778) = 45934506
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 6777 and 6778. First we will calculate the prime factors of 6777 and 6778.
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 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 6777 and 6778.
LCM(6777,6778) = 21×33×2511×33891
LCM(6777,6778) = 45934506
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 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 6777 and 6778, than apply into the LCM equation.
GCF(6777,6778) = 1
LCM(6777,6778) = ( 6777 × 6778) / 1
LCM(6777,6778) = 45934506 / 1
LCM(6777,6778) = 45934506
(i) The LCM of 6778 and 6777 is associative
LCM of 6777 and 6778 = LCM of 6778 and 6777
1. What is the LCM of 6777 and 6778?
Answer: LCM of 6777 and 6778 is 45934506.
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 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 6777 and 6778?
Answer:
Least Common Multiple of 6777 and 6778 = 45934506
Step 1: Find the prime factorization of 6777
6777 = 3 x 3 x 3 x 251
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 = 45934506 = 2 x 3 x 3 x 3 x 251 x 3389
Step 4: Therefore, the least common multiple of 6777 and 6778 is 45934506.