Least Common Multiple of 6373 and 6381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6373 and 6381 the smallest integer that is 40666113 that is divisible by both numbers.

Least Common Multiple (LCM) of 6373 and 6381 is 40666113.

LCM(6373,6381) = 40666113

LCM of 6373 and 6381

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

LCM of:
and

Least Common Multiple of 6373 and 6381

LCM of 6373 and 6381 is 40666113

Least common multiple can be found by multiplying the highest exponent prime factors of 6373 and 6381. First we will calculate the prime factors of 6373 and 6381.

Prime Factorization of 6373


6373 6373
1

Prime factors of 6373 are 6373. Prime factorization of 6373 in exponential form is:

6373 = 63731

Prime Factorization of 6381


3 6381
3 2127
709 709
1

Prime factors of 6381 are 3,709. Prime factorization of 6381 in exponential form is:

6381 = 32×7091

Now multiplying the highest exponent prime factors to calculate the LCM of 6373 and 6381.

LCM(6373,6381) = 32×7091×63731
LCM(6373,6381) = 40666113

Factors of 6373

List of positive integer factors of 6373 that divides 6373 without a remainder.

1, 6373

Factors of 6381

List of positive integer factors of 6381 that divides 6381 without a remainder.

1, 3, 9, 709, 2127, 6381

Least Common Multiple of 6373 and 6381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6373 and 6381, than apply into the LCM equation.

GCF(6373,6381) = 1
LCM(6373,6381) = ( 6373 × 6381) / 1
LCM(6373,6381) = 40666113 / 1
LCM(6373,6381) = 40666113

Properties of LCM 6373 and 6381

(i) The LCM of 6381 and 6373 is associative

LCM of 6373 and 6381 = LCM of 6381 and 6373

Related Least Common Multiples of 6373

Related Least Common Multiples of 6381

Frequently Asked Questions on LCM of 6373 and 6381

1. What is the LCM of 6373 and 6381?

Answer: LCM of 6373 and 6381 is 40666113.

2. What are the Factors of 6373?

Answer: Factors of 6373 are 1, 6373. There are 2 integers that are factors of 6373. The greatest factor of 6373 is 6373.

3. What are the Factors of 6381?

Answer: Factors of 6381 are 1, 3, 9, 709, 2127, 6381. There are 6 integers that are factors of 6381. The greatest factor of 6381 is 6381.

4. How to Find the LCM of 6373 and 6381?

Answer:

Least Common Multiple of 6373 and 6381 = 40666113

Step 1: Find the prime factorization of 6373

6373 = 6373

Step 2: Find the prime factorization of 6381

6381 = 3 x 3 x 709

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

LCM = 40666113 = 3 x 3 x 709 x 6373

Step 4: Therefore, the least common multiple of 6373 and 6381 is 40666113.