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 6389 the smallest integer that is 40768209 that is divisible by both numbers.
Least Common Multiple (LCM) of 6381 and 6389 is 40768209.
LCM(6381,6389) = 40768209
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 6389. First we will calculate the prime factors of 6381 and 6389.
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 6389
6389 | 6389 |
1 |
Prime factors of 6389 are 6389. Prime factorization of 6389 in exponential form is:
6389 = 63891
Now multiplying the highest exponent prime factors to calculate the LCM of 6381 and 6389.
LCM(6381,6389) = 32×7091×63891
LCM(6381,6389) = 40768209
Factors of 6381
List of positive integer factors of 6381 that divides 6381 without a remainder.
1, 3, 9, 709, 2127, 6381
Factors of 6389
List of positive integer factors of 6389 that divides 6389 without a remainder.
1, 6389
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6381 and 6389, than apply into the LCM equation.
GCF(6381,6389) = 1
LCM(6381,6389) = ( 6381 × 6389) / 1
LCM(6381,6389) = 40768209 / 1
LCM(6381,6389) = 40768209
(i) The LCM of 6389 and 6381 is associative
LCM of 6381 and 6389 = LCM of 6389 and 6381
1. What is the LCM of 6381 and 6389?
Answer: LCM of 6381 and 6389 is 40768209.
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 6389?
Answer: Factors of 6389 are 1, 6389. There are 2 integers that are factors of 6389. The greatest factor of 6389 is 6389.
4. How to Find the LCM of 6381 and 6389?
Answer:
Least Common Multiple of 6381 and 6389 = 40768209
Step 1: Find the prime factorization of 6381
6381 = 3 x 3 x 709
Step 2: Find the prime factorization of 6389
6389 = 6389
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40768209 = 3 x 3 x 709 x 6389
Step 4: Therefore, the least common multiple of 6381 and 6389 is 40768209.