Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6771 and 6777 the smallest integer that is 15295689 that is divisible by both numbers.
Least Common Multiple (LCM) of 6771 and 6777 is 15295689.
LCM(6771,6777) = 15295689
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 6771 and 6777. First we will calculate the prime factors of 6771 and 6777.
Prime Factorization of 6771
3 | 6771 |
37 | 2257 |
61 | 61 |
1 |
Prime factors of 6771 are 3, 37,61. Prime factorization of 6771 in exponential form is:
6771 = 31×371×611
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6771 and 6777.
LCM(6771,6777) = 33×371×611×2511
LCM(6771,6777) = 15295689
Factors of 6771
List of positive integer factors of 6771 that divides 6771 without a remainder.
1, 3, 37, 61, 111, 183, 2257, 6771
Factors of 6777
List of positive integer factors of 6777 that divides 6777 without a remainder.
1, 3, 9, 27, 251, 753, 2259, 6777
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6771 and 6777, than apply into the LCM equation.
GCF(6771,6777) = 3
LCM(6771,6777) = ( 6771 × 6777) / 3
LCM(6771,6777) = 45887067 / 3
LCM(6771,6777) = 15295689
(i) The LCM of 6777 and 6771 is associative
LCM of 6771 and 6777 = LCM of 6777 and 6771
1. What is the LCM of 6771 and 6777?
Answer: LCM of 6771 and 6777 is 15295689.
2. What are the Factors of 6771?
Answer: Factors of 6771 are 1, 3, 37, 61, 111, 183, 2257, 6771. There are 8 integers that are factors of 6771. The greatest factor of 6771 is 6771.
3. 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.
4. How to Find the LCM of 6771 and 6777?
Answer:
Least Common Multiple of 6771 and 6777 = 15295689
Step 1: Find the prime factorization of 6771
6771 = 3 x 37 x 61
Step 2: Find the prime factorization of 6777
6777 = 3 x 3 x 3 x 251
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15295689 = 3 x 3 x 3 x 37 x 61 x 251
Step 4: Therefore, the least common multiple of 6771 and 6777 is 15295689.