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 6772 the smallest integer that is 45853212 that is divisible by both numbers.
Least Common Multiple (LCM) of 6771 and 6772 is 45853212.
LCM(6771,6772) = 45853212
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 6772. First we will calculate the prime factors of 6771 and 6772.
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 6772
2 | 6772 |
2 | 3386 |
1693 | 1693 |
1 |
Prime factors of 6772 are 2,1693. Prime factorization of 6772 in exponential form is:
6772 = 22×16931
Now multiplying the highest exponent prime factors to calculate the LCM of 6771 and 6772.
LCM(6771,6772) = 22×31×371×611×16931
LCM(6771,6772) = 45853212
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 6772
List of positive integer factors of 6772 that divides 6772 without a remainder.
1, 2, 4, 1693, 3386, 6772
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6771 and 6772, than apply into the LCM equation.
GCF(6771,6772) = 1
LCM(6771,6772) = ( 6771 × 6772) / 1
LCM(6771,6772) = 45853212 / 1
LCM(6771,6772) = 45853212
(i) The LCM of 6772 and 6771 is associative
LCM of 6771 and 6772 = LCM of 6772 and 6771
1. What is the LCM of 6771 and 6772?
Answer: LCM of 6771 and 6772 is 45853212.
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 6772?
Answer: Factors of 6772 are 1, 2, 4, 1693, 3386, 6772. There are 6 integers that are factors of 6772. The greatest factor of 6772 is 6772.
4. How to Find the LCM of 6771 and 6772?
Answer:
Least Common Multiple of 6771 and 6772 = 45853212
Step 1: Find the prime factorization of 6771
6771 = 3 x 37 x 61
Step 2: Find the prime factorization of 6772
6772 = 2 x 2 x 1693
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45853212 = 2 x 2 x 3 x 37 x 61 x 1693
Step 4: Therefore, the least common multiple of 6771 and 6772 is 45853212.