Least Common Multiple of 6379 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 6379 and 6387 the smallest integer that is 40742673 that is divisible by both numbers.

Least Common Multiple (LCM) of 6379 and 6387 is 40742673.

LCM(6379,6387) = 40742673

LCM of 6379 and 6387

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

LCM of:
and

Least Common Multiple of 6379 and 6387

LCM of 6379 and 6387 is 40742673

Least common multiple can be found by multiplying the highest exponent prime factors of 6379 and 6387. First we will calculate the prime factors of 6379 and 6387.

Prime Factorization of 6379


6379 6379
1

Prime factors of 6379 are 6379. Prime factorization of 6379 in exponential form is:

6379 = 63791

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 6379 and 6387.

LCM(6379,6387) = 31×21291×63791
LCM(6379,6387) = 40742673

Factors of 6379

List of positive integer factors of 6379 that divides 6379 without a remainder.

1, 6379

Factors of 6387

List of positive integer factors of 6387 that divides 6387 without a remainder.

1, 3, 2129, 6387

Least Common Multiple of 6379 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 6379 and 6387, than apply into the LCM equation.

GCF(6379,6387) = 1
LCM(6379,6387) = ( 6379 × 6387) / 1
LCM(6379,6387) = 40742673 / 1
LCM(6379,6387) = 40742673

Properties of LCM 6379 and 6387

(i) The LCM of 6387 and 6379 is associative

LCM of 6379 and 6387 = LCM of 6387 and 6379

Related Least Common Multiples of 6379

Related Least Common Multiples of 6387

Frequently Asked Questions on LCM of 6379 and 6387

1. What is the LCM of 6379 and 6387?

Answer: LCM of 6379 and 6387 is 40742673.

2. What are the Factors of 6379?

Answer: Factors of 6379 are 1, 6379. There are 2 integers that are factors of 6379. The greatest factor of 6379 is 6379.

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 6379 and 6387?

Answer:

Least Common Multiple of 6379 and 6387 = 40742673

Step 1: Find the prime factorization of 6379

6379 = 6379

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 = 40742673 = 3 x 2129 x 6379

Step 4: Therefore, the least common multiple of 6379 and 6387 is 40742673.