Least Common Multiple of 6378 and 6383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6378 and 6383 the smallest integer that is 40710774 that is divisible by both numbers.

Least Common Multiple (LCM) of 6378 and 6383 is 40710774.

LCM(6378,6383) = 40710774

LCM of 6378 and 6383

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

LCM of:
and

Least Common Multiple of 6378 and 6383

LCM of 6378 and 6383 is 40710774

Least common multiple can be found by multiplying the highest exponent prime factors of 6378 and 6383. First we will calculate the prime factors of 6378 and 6383.

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

Prime Factorization of 6383


13 6383
491 491
1

Prime factors of 6383 are 13,491. Prime factorization of 6383 in exponential form is:

6383 = 131×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 6378 and 6383.

LCM(6378,6383) = 21×31×131×4911×10631
LCM(6378,6383) = 40710774

Factors of 6378

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

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

Factors of 6383

List of positive integer factors of 6383 that divides 6383 without a remainder.

1, 13, 491, 6383

Least Common Multiple of 6378 and 6383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6378 and 6383, than apply into the LCM equation.

GCF(6378,6383) = 1
LCM(6378,6383) = ( 6378 × 6383) / 1
LCM(6378,6383) = 40710774 / 1
LCM(6378,6383) = 40710774

Properties of LCM 6378 and 6383

(i) The LCM of 6383 and 6378 is associative

LCM of 6378 and 6383 = LCM of 6383 and 6378

Related Least Common Multiples of 6378

Related Least Common Multiples of 6383

Frequently Asked Questions on LCM of 6378 and 6383

1. What is the LCM of 6378 and 6383?

Answer: LCM of 6378 and 6383 is 40710774.

2. 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.

3. What are the Factors of 6383?

Answer: Factors of 6383 are 1, 13, 491, 6383. There are 4 integers that are factors of 6383. The greatest factor of 6383 is 6383.

4. How to Find the LCM of 6378 and 6383?

Answer:

Least Common Multiple of 6378 and 6383 = 40710774

Step 1: Find the prime factorization of 6378

6378 = 2 x 3 x 1063

Step 2: Find the prime factorization of 6383

6383 = 13 x 491

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

LCM = 40710774 = 2 x 3 x 13 x 491 x 1063

Step 4: Therefore, the least common multiple of 6378 and 6383 is 40710774.