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 6784 the smallest integer that is 45975168 that is divisible by both numbers.
Least Common Multiple (LCM) of 6777 and 6784 is 45975168.
LCM(6777,6784) = 45975168
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 6784. First we will calculate the prime factors of 6777 and 6784.
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 6784
2 | 6784 |
2 | 3392 |
2 | 1696 |
2 | 848 |
2 | 424 |
2 | 212 |
2 | 106 |
53 | 53 |
1 |
Prime factors of 6784 are 2,53. Prime factorization of 6784 in exponential form is:
6784 = 27×531
Now multiplying the highest exponent prime factors to calculate the LCM of 6777 and 6784.
LCM(6777,6784) = 27×33×531×2511
LCM(6777,6784) = 45975168
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 6784
List of positive integer factors of 6784 that divides 6784 without a remainder.
1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6777 and 6784, than apply into the LCM equation.
GCF(6777,6784) = 1
LCM(6777,6784) = ( 6777 × 6784) / 1
LCM(6777,6784) = 45975168 / 1
LCM(6777,6784) = 45975168
(i) The LCM of 6784 and 6777 is associative
LCM of 6777 and 6784 = LCM of 6784 and 6777
1. What is the LCM of 6777 and 6784?
Answer: LCM of 6777 and 6784 is 45975168.
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 6784?
Answer: Factors of 6784 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784. There are 16 integers that are factors of 6784. The greatest factor of 6784 is 6784.
4. How to Find the LCM of 6777 and 6784?
Answer:
Least Common Multiple of 6777 and 6784 = 45975168
Step 1: Find the prime factorization of 6777
6777 = 3 x 3 x 3 x 251
Step 2: Find the prime factorization of 6784
6784 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45975168 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 53 x 251
Step 4: Therefore, the least common multiple of 6777 and 6784 is 45975168.