Least Common Multiple of 6381 and 6387

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

LCM of 6381 and 6387

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6381 and 6387

LCM of 6381 and 6387 is 13585149

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

Least Common Multiple of 6381 and 6387 with GCF Formula

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

Properties of LCM 6381 and 6387

(i) The LCM of 6387 and 6381 is associative

LCM of 6381 and 6387 = LCM of 6387 and 6381

Related Least Common Multiples of 6381

Related Least Common Multiples of 6387

Frequently Asked Questions on LCM of 6381 and 6387

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.