Least Common Multiple of 6385 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 6385 and 6391 the smallest integer that is 40806535 that is divisible by both numbers.

Least Common Multiple (LCM) of 6385 and 6391 is 40806535.

LCM(6385,6391) = 40806535

LCM of 6385 and 6391

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

LCM of:
and

Least Common Multiple of 6385 and 6391

LCM of 6385 and 6391 is 40806535

Least common multiple can be found by multiplying the highest exponent prime factors of 6385 and 6391. First we will calculate the prime factors of 6385 and 6391.

Prime Factorization of 6385


5 6385
1277 1277
1

Prime factors of 6385 are 5,1277. Prime factorization of 6385 in exponential form is:

6385 = 51×12771

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 6385 and 6391.

LCM(6385,6391) = 51×71×111×831×12771
LCM(6385,6391) = 40806535

Factors of 6385

List of positive integer factors of 6385 that divides 6385 without a remainder.

1, 5, 1277, 6385

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 6385 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 6385 and 6391, than apply into the LCM equation.

GCF(6385,6391) = 1
LCM(6385,6391) = ( 6385 × 6391) / 1
LCM(6385,6391) = 40806535 / 1
LCM(6385,6391) = 40806535

Properties of LCM 6385 and 6391

(i) The LCM of 6391 and 6385 is associative

LCM of 6385 and 6391 = LCM of 6391 and 6385

Related Least Common Multiples of 6385

Related Least Common Multiples of 6391

Frequently Asked Questions on LCM of 6385 and 6391

1. What is the LCM of 6385 and 6391?

Answer: LCM of 6385 and 6391 is 40806535.

2. What are the Factors of 6385?

Answer: Factors of 6385 are 1, 5, 1277, 6385. There are 4 integers that are factors of 6385. The greatest factor of 6385 is 6385.

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 6385 and 6391?

Answer:

Least Common Multiple of 6385 and 6391 = 40806535

Step 1: Find the prime factorization of 6385

6385 = 5 x 1277

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 = 40806535 = 5 x 7 x 11 x 83 x 1277

Step 4: Therefore, the least common multiple of 6385 and 6391 is 40806535.