Least Common Multiple of 6386 and 6391

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 6391 the smallest integer that is 40812926 that is divisible by both numbers.

Least Common Multiple (LCM) of 6386 and 6391 is 40812926.

LCM(6386,6391) = 40812926

LCM of 6386 and 6391

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

LCM of:
and

Least Common Multiple of 6386 and 6391

LCM of 6386 and 6391 is 40812926

Least common multiple can be found by multiplying the highest exponent prime factors of 6386 and 6391. First we will calculate the prime factors of 6386 and 6391.

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 6391


7 6391
11 913
83 83
1

Prime factors of 6391 are 7, 11,83. Prime factorization of 6391 in exponential form is:

6391 = 71×111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 6386 and 6391.

LCM(6386,6391) = 21×71×111×311×831×1031
LCM(6386,6391) = 40812926

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 6391

List of positive integer factors of 6391 that divides 6391 without a remainder.

1, 7, 11, 77, 83, 581, 913, 6391

Least Common Multiple of 6386 and 6391 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 6391, than apply into the LCM equation.

GCF(6386,6391) = 1
LCM(6386,6391) = ( 6386 × 6391) / 1
LCM(6386,6391) = 40812926 / 1
LCM(6386,6391) = 40812926

Properties of LCM 6386 and 6391

(i) The LCM of 6391 and 6386 is associative

LCM of 6386 and 6391 = LCM of 6391 and 6386

Related Least Common Multiples of 6386

Related Least Common Multiples of 6391

Frequently Asked Questions on LCM of 6386 and 6391

1. What is the LCM of 6386 and 6391?

Answer: LCM of 6386 and 6391 is 40812926.

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 6391?

Answer: Factors of 6391 are 1, 7, 11, 77, 83, 581, 913, 6391. There are 8 integers that are factors of 6391. The greatest factor of 6391 is 6391.

4. How to Find the LCM of 6386 and 6391?

Answer:

Least Common Multiple of 6386 and 6391 = 40812926

Step 1: Find the prime factorization of 6386

6386 = 2 x 31 x 103

Step 2: Find the prime factorization of 6391

6391 = 7 x 11 x 83

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

LCM = 40812926 = 2 x 7 x 11 x 31 x 83 x 103

Step 4: Therefore, the least common multiple of 6386 and 6391 is 40812926.