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 6779 the smallest integer that is 45900609 that is divisible by both numbers.
Least Common Multiple (LCM) of 6771 and 6779 is 45900609.
LCM(6771,6779) = 45900609
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 6779. First we will calculate the prime factors of 6771 and 6779.
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 6779
6779 | 6779 |
1 |
Prime factors of 6779 are 6779. Prime factorization of 6779 in exponential form is:
6779 = 67791
Now multiplying the highest exponent prime factors to calculate the LCM of 6771 and 6779.
LCM(6771,6779) = 31×371×611×67791
LCM(6771,6779) = 45900609
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 6779
List of positive integer factors of 6779 that divides 6779 without a remainder.
1, 6779
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6771 and 6779, than apply into the LCM equation.
GCF(6771,6779) = 1
LCM(6771,6779) = ( 6771 × 6779) / 1
LCM(6771,6779) = 45900609 / 1
LCM(6771,6779) = 45900609
(i) The LCM of 6779 and 6771 is associative
LCM of 6771 and 6779 = LCM of 6779 and 6771
1. What is the LCM of 6771 and 6779?
Answer: LCM of 6771 and 6779 is 45900609.
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 6779?
Answer: Factors of 6779 are 1, 6779. There are 2 integers that are factors of 6779. The greatest factor of 6779 is 6779.
4. How to Find the LCM of 6771 and 6779?
Answer:
Least Common Multiple of 6771 and 6779 = 45900609
Step 1: Find the prime factorization of 6771
6771 = 3 x 37 x 61
Step 2: Find the prime factorization of 6779
6779 = 6779
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45900609 = 3 x 37 x 61 x 6779
Step 4: Therefore, the least common multiple of 6771 and 6779 is 45900609.