Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6381 and 6385 the smallest integer that is 40742685 that is divisible by both numbers.
Least Common Multiple (LCM) of 6381 and 6385 is 40742685.
LCM(6381,6385) = 40742685
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 6381 and 6385. First we will calculate the prime factors of 6381 and 6385.
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
Prime Factorization of 6385
5 | 6385 |
1277 | 1277 |
1 |
Prime factors of 6385 are 5,1277. Prime factorization of 6385 in exponential form is:
6385 = 51×12771
Now multiplying the highest exponent prime factors to calculate the LCM of 6381 and 6385.
LCM(6381,6385) = 32×51×7091×12771
LCM(6381,6385) = 40742685
Factors of 6381
List of positive integer factors of 6381 that divides 6381 without a remainder.
1, 3, 9, 709, 2127, 6381
Factors of 6385
List of positive integer factors of 6385 that divides 6385 without a remainder.
1, 5, 1277, 6385
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6381 and 6385, than apply into the LCM equation.
GCF(6381,6385) = 1
LCM(6381,6385) = ( 6381 × 6385) / 1
LCM(6381,6385) = 40742685 / 1
LCM(6381,6385) = 40742685
(i) The LCM of 6385 and 6381 is associative
LCM of 6381 and 6385 = LCM of 6385 and 6381
1. What is the LCM of 6381 and 6385?
Answer: LCM of 6381 and 6385 is 40742685.
2. 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.
3. What are the Factors of 6385?
Answer: Factors of 6385 are 1, 5, 1277, 6385. There are 4 integers that are factors of 6385. The greatest factor of 6385 is 6385.
4. How to Find the LCM of 6381 and 6385?
Answer:
Least Common Multiple of 6381 and 6385 = 40742685
Step 1: Find the prime factorization of 6381
6381 = 3 x 3 x 709
Step 2: Find the prime factorization of 6385
6385 = 5 x 1277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40742685 = 3 x 3 x 5 x 709 x 1277
Step 4: Therefore, the least common multiple of 6381 and 6385 is 40742685.