Least Common Multiple of 6382 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 6382 and 6386 the smallest integer that is 20377726 that is divisible by both numbers.

Least Common Multiple (LCM) of 6382 and 6386 is 20377726.

LCM(6382,6386) = 20377726

LCM of 6382 and 6386

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

LCM of:
and

Least Common Multiple of 6382 and 6386

LCM of 6382 and 6386 is 20377726

Least common multiple can be found by multiplying the highest exponent prime factors of 6382 and 6386. First we will calculate the prime factors of 6382 and 6386.

Prime Factorization of 6382


2 6382
3191 3191
1

Prime factors of 6382 are 2,3191. Prime factorization of 6382 in exponential form is:

6382 = 21×31911

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 6382 and 6386.

LCM(6382,6386) = 21×311×1031×31911
LCM(6382,6386) = 20377726

Factors of 6382

List of positive integer factors of 6382 that divides 6382 without a remainder.

1, 2, 3191, 6382

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 6382 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 6382 and 6386, than apply into the LCM equation.

GCF(6382,6386) = 2
LCM(6382,6386) = ( 6382 × 6386) / 2
LCM(6382,6386) = 40755452 / 2
LCM(6382,6386) = 20377726

Properties of LCM 6382 and 6386

(i) The LCM of 6386 and 6382 is associative

LCM of 6382 and 6386 = LCM of 6386 and 6382

Related Least Common Multiples of 6382

Related Least Common Multiples of 6386

Frequently Asked Questions on LCM of 6382 and 6386

1. What is the LCM of 6382 and 6386?

Answer: LCM of 6382 and 6386 is 20377726.

2. What are the Factors of 6382?

Answer: Factors of 6382 are 1, 2, 3191, 6382. There are 4 integers that are factors of 6382. The greatest factor of 6382 is 6382.

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 6382 and 6386?

Answer:

Least Common Multiple of 6382 and 6386 = 20377726

Step 1: Find the prime factorization of 6382

6382 = 2 x 3191

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 = 20377726 = 2 x 31 x 103 x 3191

Step 4: Therefore, the least common multiple of 6382 and 6386 is 20377726.