Least Common Multiple of 6386 and 6394

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 6394 the smallest integer that is 20416042 that is divisible by both numbers.

Least Common Multiple (LCM) of 6386 and 6394 is 20416042.

LCM(6386,6394) = 20416042

LCM of 6386 and 6394

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

LCM of:
and

Least Common Multiple of 6386 and 6394

LCM of 6386 and 6394 is 20416042

Least common multiple can be found by multiplying the highest exponent prime factors of 6386 and 6394. First we will calculate the prime factors of 6386 and 6394.

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 6394


2 6394
23 3197
139 139
1

Prime factors of 6394 are 2, 23,139. Prime factorization of 6394 in exponential form is:

6394 = 21×231×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 6386 and 6394.

LCM(6386,6394) = 21×231×311×1031×1391
LCM(6386,6394) = 20416042

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 6394

List of positive integer factors of 6394 that divides 6394 without a remainder.

1, 2, 23, 46, 139, 278, 3197, 6394

Least Common Multiple of 6386 and 6394 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 6394, than apply into the LCM equation.

GCF(6386,6394) = 2
LCM(6386,6394) = ( 6386 × 6394) / 2
LCM(6386,6394) = 40832084 / 2
LCM(6386,6394) = 20416042

Properties of LCM 6386 and 6394

(i) The LCM of 6394 and 6386 is associative

LCM of 6386 and 6394 = LCM of 6394 and 6386

Related Least Common Multiples of 6386

Related Least Common Multiples of 6394

Frequently Asked Questions on LCM of 6386 and 6394

1. What is the LCM of 6386 and 6394?

Answer: LCM of 6386 and 6394 is 20416042.

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 6394?

Answer: Factors of 6394 are 1, 2, 23, 46, 139, 278, 3197, 6394. There are 8 integers that are factors of 6394. The greatest factor of 6394 is 6394.

4. How to Find the LCM of 6386 and 6394?

Answer:

Least Common Multiple of 6386 and 6394 = 20416042

Step 1: Find the prime factorization of 6386

6386 = 2 x 31 x 103

Step 2: Find the prime factorization of 6394

6394 = 2 x 23 x 139

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

LCM = 20416042 = 2 x 23 x 31 x 103 x 139

Step 4: Therefore, the least common multiple of 6386 and 6394 is 20416042.