Least Common Multiple of 6373 and 6378

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 6378 the smallest integer that is 40646994 that is divisible by both numbers.

Least Common Multiple (LCM) of 6373 and 6378 is 40646994.

LCM(6373,6378) = 40646994

LCM of 6373 and 6378

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

LCM of:
and

Least Common Multiple of 6373 and 6378

LCM of 6373 and 6378 is 40646994

Least common multiple can be found by multiplying the highest exponent prime factors of 6373 and 6378. First we will calculate the prime factors of 6373 and 6378.

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 6378


2 6378
3 3189
1063 1063
1

Prime factors of 6378 are 2, 3,1063. Prime factorization of 6378 in exponential form is:

6378 = 21×31×10631

Now multiplying the highest exponent prime factors to calculate the LCM of 6373 and 6378.

LCM(6373,6378) = 21×31×10631×63731
LCM(6373,6378) = 40646994

Factors of 6373

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

1, 6373

Factors of 6378

List of positive integer factors of 6378 that divides 6378 without a remainder.

1, 2, 3, 6, 1063, 2126, 3189, 6378

Least Common Multiple of 6373 and 6378 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 6378, than apply into the LCM equation.

GCF(6373,6378) = 1
LCM(6373,6378) = ( 6373 × 6378) / 1
LCM(6373,6378) = 40646994 / 1
LCM(6373,6378) = 40646994

Properties of LCM 6373 and 6378

(i) The LCM of 6378 and 6373 is associative

LCM of 6373 and 6378 = LCM of 6378 and 6373

Related Least Common Multiples of 6373

Related Least Common Multiples of 6378

Frequently Asked Questions on LCM of 6373 and 6378

1. What is the LCM of 6373 and 6378?

Answer: LCM of 6373 and 6378 is 40646994.

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 6378?

Answer: Factors of 6378 are 1, 2, 3, 6, 1063, 2126, 3189, 6378. There are 8 integers that are factors of 6378. The greatest factor of 6378 is 6378.

4. How to Find the LCM of 6373 and 6378?

Answer:

Least Common Multiple of 6373 and 6378 = 40646994

Step 1: Find the prime factorization of 6373

6373 = 6373

Step 2: Find the prime factorization of 6378

6378 = 2 x 3 x 1063

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

LCM = 40646994 = 2 x 3 x 1063 x 6373

Step 4: Therefore, the least common multiple of 6373 and 6378 is 40646994.