Least Common Multiple of 6386 and 6393

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 6393 the smallest integer that is 40825698 that is divisible by both numbers.

Least Common Multiple (LCM) of 6386 and 6393 is 40825698.

LCM(6386,6393) = 40825698

LCM of 6386 and 6393

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

LCM of:
and

Least Common Multiple of 6386 and 6393

LCM of 6386 and 6393 is 40825698

Least common multiple can be found by multiplying the highest exponent prime factors of 6386 and 6393. First we will calculate the prime factors of 6386 and 6393.

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 6393


3 6393
2131 2131
1

Prime factors of 6393 are 3,2131. Prime factorization of 6393 in exponential form is:

6393 = 31×21311

Now multiplying the highest exponent prime factors to calculate the LCM of 6386 and 6393.

LCM(6386,6393) = 21×31×311×1031×21311
LCM(6386,6393) = 40825698

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 6393

List of positive integer factors of 6393 that divides 6393 without a remainder.

1, 3, 2131, 6393

Least Common Multiple of 6386 and 6393 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 6393, than apply into the LCM equation.

GCF(6386,6393) = 1
LCM(6386,6393) = ( 6386 × 6393) / 1
LCM(6386,6393) = 40825698 / 1
LCM(6386,6393) = 40825698

Properties of LCM 6386 and 6393

(i) The LCM of 6393 and 6386 is associative

LCM of 6386 and 6393 = LCM of 6393 and 6386

Related Least Common Multiples of 6386

Related Least Common Multiples of 6393

Frequently Asked Questions on LCM of 6386 and 6393

1. What is the LCM of 6386 and 6393?

Answer: LCM of 6386 and 6393 is 40825698.

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 6393?

Answer: Factors of 6393 are 1, 3, 2131, 6393. There are 4 integers that are factors of 6393. The greatest factor of 6393 is 6393.

4. How to Find the LCM of 6386 and 6393?

Answer:

Least Common Multiple of 6386 and 6393 = 40825698

Step 1: Find the prime factorization of 6386

6386 = 2 x 31 x 103

Step 2: Find the prime factorization of 6393

6393 = 3 x 2131

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

LCM = 40825698 = 2 x 3 x 31 x 103 x 2131

Step 4: Therefore, the least common multiple of 6386 and 6393 is 40825698.