Least Common Multiple of 6381 and 6389

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

LCM of 6381 and 6389

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

LCM of:
and

Least Common Multiple of 6381 and 6389

LCM of 6381 and 6389 is 40768209

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

Least Common Multiple of 6381 and 6389 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 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

Properties of LCM 6381 and 6389

(i) The LCM of 6389 and 6381 is associative

LCM of 6381 and 6389 = LCM of 6389 and 6381

Related Least Common Multiples of 6381

Related Least Common Multiples of 6389

Frequently Asked Questions on LCM of 6381 and 6389

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.