Least Common Multiple of 6386 and 6392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6386 and 6392 the smallest integer that is 20409656 that is divisible by both numbers.

Least Common Multiple (LCM) of 6386 and 6392 is 20409656.

LCM(6386,6392) = 20409656

LCM of 6386 and 6392

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

LCM of:
and

Least Common Multiple of 6386 and 6392

LCM of 6386 and 6392 is 20409656

Least common multiple can be found by multiplying the highest exponent prime factors of 6386 and 6392. First we will calculate the prime factors of 6386 and 6392.

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

Prime Factorization of 6392


2 6392
2 3196
2 1598
17 799
47 47
1

Prime factors of 6392 are 2, 17,47. Prime factorization of 6392 in exponential form is:

6392 = 23×171×471

Now multiplying the highest exponent prime factors to calculate the LCM of 6386 and 6392.

LCM(6386,6392) = 23×171×311×471×1031
LCM(6386,6392) = 20409656

Factors of 6386

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

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

Factors of 6392

List of positive integer factors of 6392 that divides 6392 without a remainder.

1, 2, 4, 8, 17, 34, 47, 68, 94, 136, 188, 376, 799, 1598, 3196, 6392

Least Common Multiple of 6386 and 6392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6386 and 6392, than apply into the LCM equation.

GCF(6386,6392) = 2
LCM(6386,6392) = ( 6386 × 6392) / 2
LCM(6386,6392) = 40819312 / 2
LCM(6386,6392) = 20409656

Properties of LCM 6386 and 6392

(i) The LCM of 6392 and 6386 is associative

LCM of 6386 and 6392 = LCM of 6392 and 6386

Related Least Common Multiples of 6386

Related Least Common Multiples of 6392

Frequently Asked Questions on LCM of 6386 and 6392

1. What is the LCM of 6386 and 6392?

Answer: LCM of 6386 and 6392 is 20409656.

2. 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.

3. What are the Factors of 6392?

Answer: Factors of 6392 are 1, 2, 4, 8, 17, 34, 47, 68, 94, 136, 188, 376, 799, 1598, 3196, 6392. There are 16 integers that are factors of 6392. The greatest factor of 6392 is 6392.

4. How to Find the LCM of 6386 and 6392?

Answer:

Least Common Multiple of 6386 and 6392 = 20409656

Step 1: Find the prime factorization of 6386

6386 = 2 x 31 x 103

Step 2: Find the prime factorization of 6392

6392 = 2 x 2 x 2 x 17 x 47

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

LCM = 20409656 = 2 x 2 x 2 x 17 x 31 x 47 x 103

Step 4: Therefore, the least common multiple of 6386 and 6392 is 20409656.