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 6387 the smallest integer that is 13585149 that is divisible by both numbers.
Least Common Multiple (LCM) of 6381 and 6387 is 13585149.
LCM(6381,6387) = 13585149
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 6387. First we will calculate the prime factors of 6381 and 6387.
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 6387
3 | 6387 |
2129 | 2129 |
1 |
Prime factors of 6387 are 3,2129. Prime factorization of 6387 in exponential form is:
6387 = 31×21291
Now multiplying the highest exponent prime factors to calculate the LCM of 6381 and 6387.
LCM(6381,6387) = 32×7091×21291
LCM(6381,6387) = 13585149
Factors of 6381
List of positive integer factors of 6381 that divides 6381 without a remainder.
1, 3, 9, 709, 2127, 6381
Factors of 6387
List of positive integer factors of 6387 that divides 6387 without a remainder.
1, 3, 2129, 6387
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6381 and 6387, than apply into the LCM equation.
GCF(6381,6387) = 3
LCM(6381,6387) = ( 6381 × 6387) / 3
LCM(6381,6387) = 40755447 / 3
LCM(6381,6387) = 13585149
(i) The LCM of 6387 and 6381 is associative
LCM of 6381 and 6387 = LCM of 6387 and 6381
1. What is the LCM of 6381 and 6387?
Answer: LCM of 6381 and 6387 is 13585149.
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 6387?
Answer: Factors of 6387 are 1, 3, 2129, 6387. There are 4 integers that are factors of 6387. The greatest factor of 6387 is 6387.
4. How to Find the LCM of 6381 and 6387?
Answer:
Least Common Multiple of 6381 and 6387 = 13585149
Step 1: Find the prime factorization of 6381
6381 = 3 x 3 x 709
Step 2: Find the prime factorization of 6387
6387 = 3 x 2129
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13585149 = 3 x 3 x 709 x 2129
Step 4: Therefore, the least common multiple of 6381 and 6387 is 13585149.