Least Common Multiple of 6381 and 6386

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 6386 the smallest integer that is 40749066 that is divisible by both numbers.

Least Common Multiple (LCM) of 6381 and 6386 is 40749066.

LCM(6381,6386) = 40749066

LCM of 6381 and 6386

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

LCM of:
and

Least Common Multiple of 6381 and 6386

LCM of 6381 and 6386 is 40749066

Least common multiple can be found by multiplying the highest exponent prime factors of 6381 and 6386. First we will calculate the prime factors of 6381 and 6386.

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 6386


2 6386
31 3193
103 103
1

Prime factors of 6386 are 2, 31,103. Prime factorization of 6386 in exponential form is:

6386 = 21×311×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6381 and 6386.

LCM(6381,6386) = 21×32×311×1031×7091
LCM(6381,6386) = 40749066

Factors of 6381

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

1, 3, 9, 709, 2127, 6381

Factors of 6386

List of positive integer factors of 6386 that divides 6386 without a remainder.

1, 2, 31, 62, 103, 206, 3193, 6386

Least Common Multiple of 6381 and 6386 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 6386, than apply into the LCM equation.

GCF(6381,6386) = 1
LCM(6381,6386) = ( 6381 × 6386) / 1
LCM(6381,6386) = 40749066 / 1
LCM(6381,6386) = 40749066

Properties of LCM 6381 and 6386

(i) The LCM of 6386 and 6381 is associative

LCM of 6381 and 6386 = LCM of 6386 and 6381

Related Least Common Multiples of 6381

Related Least Common Multiples of 6386

Frequently Asked Questions on LCM of 6381 and 6386

1. What is the LCM of 6381 and 6386?

Answer: LCM of 6381 and 6386 is 40749066.

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 6386?

Answer: Factors of 6386 are 1, 2, 31, 62, 103, 206, 3193, 6386. There are 8 integers that are factors of 6386. The greatest factor of 6386 is 6386.

4. How to Find the LCM of 6381 and 6386?

Answer:

Least Common Multiple of 6381 and 6386 = 40749066

Step 1: Find the prime factorization of 6381

6381 = 3 x 3 x 709

Step 2: Find the prime factorization of 6386

6386 = 2 x 31 x 103

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

LCM = 40749066 = 2 x 3 x 3 x 31 x 103 x 709

Step 4: Therefore, the least common multiple of 6381 and 6386 is 40749066.