Least Common Multiple of 6378 and 6385

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 6385 the smallest integer that is 40723530 that is divisible by both numbers.

Least Common Multiple (LCM) of 6378 and 6385 is 40723530.

LCM(6378,6385) = 40723530

LCM of 6378 and 6385

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

LCM of:
and

Least Common Multiple of 6378 and 6385

LCM of 6378 and 6385 is 40723530

Least common multiple can be found by multiplying the highest exponent prime factors of 6378 and 6385. First we will calculate the prime factors of 6378 and 6385.

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 6385


5 6385
1277 1277
1

Prime factors of 6385 are 5,1277. Prime factorization of 6385 in exponential form is:

6385 = 51×12771

Now multiplying the highest exponent prime factors to calculate the LCM of 6378 and 6385.

LCM(6378,6385) = 21×31×51×10631×12771
LCM(6378,6385) = 40723530

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 6385

List of positive integer factors of 6385 that divides 6385 without a remainder.

1, 5, 1277, 6385

Least Common Multiple of 6378 and 6385 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 6385, than apply into the LCM equation.

GCF(6378,6385) = 1
LCM(6378,6385) = ( 6378 × 6385) / 1
LCM(6378,6385) = 40723530 / 1
LCM(6378,6385) = 40723530

Properties of LCM 6378 and 6385

(i) The LCM of 6385 and 6378 is associative

LCM of 6378 and 6385 = LCM of 6385 and 6378

Related Least Common Multiples of 6378

Related Least Common Multiples of 6385

Frequently Asked Questions on LCM of 6378 and 6385

1. What is the LCM of 6378 and 6385?

Answer: LCM of 6378 and 6385 is 40723530.

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 6385?

Answer: Factors of 6385 are 1, 5, 1277, 6385. There are 4 integers that are factors of 6385. The greatest factor of 6385 is 6385.

4. How to Find the LCM of 6378 and 6385?

Answer:

Least Common Multiple of 6378 and 6385 = 40723530

Step 1: Find the prime factorization of 6378

6378 = 2 x 3 x 1063

Step 2: Find the prime factorization of 6385

6385 = 5 x 1277

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

LCM = 40723530 = 2 x 3 x 5 x 1063 x 1277

Step 4: Therefore, the least common multiple of 6378 and 6385 is 40723530.