Least Common Multiple of 6389 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 6389 and 6393 the smallest integer that is 40844877 that is divisible by both numbers.

Least Common Multiple (LCM) of 6389 and 6393 is 40844877.

LCM(6389,6393) = 40844877

LCM of 6389 and 6393

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

LCM of:
and

Least Common Multiple of 6389 and 6393

LCM of 6389 and 6393 is 40844877

Least common multiple can be found by multiplying the highest exponent prime factors of 6389 and 6393. First we will calculate the prime factors of 6389 and 6393.

Prime Factorization of 6389


6389 6389
1

Prime factors of 6389 are 6389. Prime factorization of 6389 in exponential form is:

6389 = 63891

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 6389 and 6393.

LCM(6389,6393) = 31×21311×63891
LCM(6389,6393) = 40844877

Factors of 6389

List of positive integer factors of 6389 that divides 6389 without a remainder.

1, 6389

Factors of 6393

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

1, 3, 2131, 6393

Least Common Multiple of 6389 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 6389 and 6393, than apply into the LCM equation.

GCF(6389,6393) = 1
LCM(6389,6393) = ( 6389 × 6393) / 1
LCM(6389,6393) = 40844877 / 1
LCM(6389,6393) = 40844877

Properties of LCM 6389 and 6393

(i) The LCM of 6393 and 6389 is associative

LCM of 6389 and 6393 = LCM of 6393 and 6389

Related Least Common Multiples of 6389

Related Least Common Multiples of 6393

Frequently Asked Questions on LCM of 6389 and 6393

1. What is the LCM of 6389 and 6393?

Answer: LCM of 6389 and 6393 is 40844877.

2. What are the Factors of 6389?

Answer: Factors of 6389 are 1, 6389. There are 2 integers that are factors of 6389. The greatest factor of 6389 is 6389.

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 6389 and 6393?

Answer:

Least Common Multiple of 6389 and 6393 = 40844877

Step 1: Find the prime factorization of 6389

6389 = 6389

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 = 40844877 = 3 x 2131 x 6389

Step 4: Therefore, the least common multiple of 6389 and 6393 is 40844877.