Least Common Multiple of 6381 and 6385

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 6385 the smallest integer that is 40742685 that is divisible by both numbers.

Least Common Multiple (LCM) of 6381 and 6385 is 40742685.

LCM(6381,6385) = 40742685

LCM of 6381 and 6385

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

LCM of:
and

Least Common Multiple of 6381 and 6385

LCM of 6381 and 6385 is 40742685

Least common multiple can be found by multiplying the highest exponent prime factors of 6381 and 6385. First we will calculate the prime factors of 6381 and 6385.

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 6385


5 6385
1277 1277
1

Prime factors of 6385 are 5,1277. Prime factorization of 6385 in exponential form is:

6385 = 51×12771

Now multiplying the highest exponent prime factors to calculate the LCM of 6381 and 6385.

LCM(6381,6385) = 32×51×7091×12771
LCM(6381,6385) = 40742685

Factors of 6381

List of positive integer factors of 6381 that divides 6381 without a remainder.

1, 3, 9, 709, 2127, 6381

Factors of 6385

List of positive integer factors of 6385 that divides 6385 without a remainder.

1, 5, 1277, 6385

Least Common Multiple of 6381 and 6385 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 6385, than apply into the LCM equation.

GCF(6381,6385) = 1
LCM(6381,6385) = ( 6381 × 6385) / 1
LCM(6381,6385) = 40742685 / 1
LCM(6381,6385) = 40742685

Properties of LCM 6381 and 6385

(i) The LCM of 6385 and 6381 is associative

LCM of 6381 and 6385 = LCM of 6385 and 6381

Related Least Common Multiples of 6381

Related Least Common Multiples of 6385

Frequently Asked Questions on LCM of 6381 and 6385

1. What is the LCM of 6381 and 6385?

Answer: LCM of 6381 and 6385 is 40742685.

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 6385?

Answer: Factors of 6385 are 1, 5, 1277, 6385. There are 4 integers that are factors of 6385. The greatest factor of 6385 is 6385.

4. How to Find the LCM of 6381 and 6385?

Answer:

Least Common Multiple of 6381 and 6385 = 40742685

Step 1: Find the prime factorization of 6381

6381 = 3 x 3 x 709

Step 2: Find the prime factorization of 6385

6385 = 5 x 1277

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 40742685 = 3 x 3 x 5 x 709 x 1277

Step 4: Therefore, the least common multiple of 6381 and 6385 is 40742685.