Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6376 and 6381 the smallest integer that is 40685256 that is divisible by both numbers.
Least Common Multiple (LCM) of 6376 and 6381 is 40685256.
LCM(6376,6381) = 40685256
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 6376 and 6381. First we will calculate the prime factors of 6376 and 6381.
Prime Factorization of 6376
2 | 6376 |
2 | 3188 |
2 | 1594 |
797 | 797 |
1 |
Prime factors of 6376 are 2,797. Prime factorization of 6376 in exponential form is:
6376 = 23×7971
Prime Factorization of 6381
3 | 6381 |
3 | 2127 |
709 | 709 |
1 |
Prime factors of 6381 are 3,709. Prime factorization of 6381 in exponential form is:
6381 = 32×7091
Now multiplying the highest exponent prime factors to calculate the LCM of 6376 and 6381.
LCM(6376,6381) = 23×32×7091×7971
LCM(6376,6381) = 40685256
Factors of 6376
List of positive integer factors of 6376 that divides 6376 without a remainder.
1, 2, 4, 8, 797, 1594, 3188, 6376
Factors of 6381
List of positive integer factors of 6381 that divides 6381 without a remainder.
1, 3, 9, 709, 2127, 6381
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6376 and 6381, than apply into the LCM equation.
GCF(6376,6381) = 1
LCM(6376,6381) = ( 6376 × 6381) / 1
LCM(6376,6381) = 40685256 / 1
LCM(6376,6381) = 40685256
(i) The LCM of 6381 and 6376 is associative
LCM of 6376 and 6381 = LCM of 6381 and 6376
1. What is the LCM of 6376 and 6381?
Answer: LCM of 6376 and 6381 is 40685256.
2. What are the Factors of 6376?
Answer: Factors of 6376 are 1, 2, 4, 8, 797, 1594, 3188, 6376. There are 8 integers that are factors of 6376. The greatest factor of 6376 is 6376.
3. What are the Factors of 6381?
Answer: Factors of 6381 are 1, 3, 9, 709, 2127, 6381. There are 6 integers that are factors of 6381. The greatest factor of 6381 is 6381.
4. How to Find the LCM of 6376 and 6381?
Answer:
Least Common Multiple of 6376 and 6381 = 40685256
Step 1: Find the prime factorization of 6376
6376 = 2 x 2 x 2 x 797
Step 2: Find the prime factorization of 6381
6381 = 3 x 3 x 709
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40685256 = 2 x 2 x 2 x 3 x 3 x 709 x 797
Step 4: Therefore, the least common multiple of 6376 and 6381 is 40685256.