Least Common Multiple of 6378 and 6382

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 6382 the smallest integer that is 20352198 that is divisible by both numbers.

Least Common Multiple (LCM) of 6378 and 6382 is 20352198.

LCM(6378,6382) = 20352198

LCM of 6378 and 6382

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

LCM of:
and

Least Common Multiple of 6378 and 6382

LCM of 6378 and 6382 is 20352198

Least common multiple can be found by multiplying the highest exponent prime factors of 6378 and 6382. First we will calculate the prime factors of 6378 and 6382.

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 6382


2 6382
3191 3191
1

Prime factors of 6382 are 2,3191. Prime factorization of 6382 in exponential form is:

6382 = 21×31911

Now multiplying the highest exponent prime factors to calculate the LCM of 6378 and 6382.

LCM(6378,6382) = 21×31×10631×31911
LCM(6378,6382) = 20352198

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 6382

List of positive integer factors of 6382 that divides 6382 without a remainder.

1, 2, 3191, 6382

Least Common Multiple of 6378 and 6382 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 6382, than apply into the LCM equation.

GCF(6378,6382) = 2
LCM(6378,6382) = ( 6378 × 6382) / 2
LCM(6378,6382) = 40704396 / 2
LCM(6378,6382) = 20352198

Properties of LCM 6378 and 6382

(i) The LCM of 6382 and 6378 is associative

LCM of 6378 and 6382 = LCM of 6382 and 6378

Related Least Common Multiples of 6378

Related Least Common Multiples of 6382

Frequently Asked Questions on LCM of 6378 and 6382

1. What is the LCM of 6378 and 6382?

Answer: LCM of 6378 and 6382 is 20352198.

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 6382?

Answer: Factors of 6382 are 1, 2, 3191, 6382. There are 4 integers that are factors of 6382. The greatest factor of 6382 is 6382.

4. How to Find the LCM of 6378 and 6382?

Answer:

Least Common Multiple of 6378 and 6382 = 20352198

Step 1: Find the prime factorization of 6378

6378 = 2 x 3 x 1063

Step 2: Find the prime factorization of 6382

6382 = 2 x 3191

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

LCM = 20352198 = 2 x 3 x 1063 x 3191

Step 4: Therefore, the least common multiple of 6378 and 6382 is 20352198.