Least Common Multiple of 6378 and 6386

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 6386 the smallest integer that is 20364954 that is divisible by both numbers.

Least Common Multiple (LCM) of 6378 and 6386 is 20364954.

LCM(6378,6386) = 20364954

LCM of 6378 and 6386

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

LCM of:
and

Least Common Multiple of 6378 and 6386

LCM of 6378 and 6386 is 20364954

Least common multiple can be found by multiplying the highest exponent prime factors of 6378 and 6386. First we will calculate the prime factors of 6378 and 6386.

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 6386


2 6386
31 3193
103 103
1

Prime factors of 6386 are 2, 31,103. Prime factorization of 6386 in exponential form is:

6386 = 21×311×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6378 and 6386.

LCM(6378,6386) = 21×31×311×1031×10631
LCM(6378,6386) = 20364954

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 6386

List of positive integer factors of 6386 that divides 6386 without a remainder.

1, 2, 31, 62, 103, 206, 3193, 6386

Least Common Multiple of 6378 and 6386 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 6386, than apply into the LCM equation.

GCF(6378,6386) = 2
LCM(6378,6386) = ( 6378 × 6386) / 2
LCM(6378,6386) = 40729908 / 2
LCM(6378,6386) = 20364954

Properties of LCM 6378 and 6386

(i) The LCM of 6386 and 6378 is associative

LCM of 6378 and 6386 = LCM of 6386 and 6378

Related Least Common Multiples of 6378

Related Least Common Multiples of 6386

Frequently Asked Questions on LCM of 6378 and 6386

1. What is the LCM of 6378 and 6386?

Answer: LCM of 6378 and 6386 is 20364954.

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 6386?

Answer: Factors of 6386 are 1, 2, 31, 62, 103, 206, 3193, 6386. There are 8 integers that are factors of 6386. The greatest factor of 6386 is 6386.

4. How to Find the LCM of 6378 and 6386?

Answer:

Least Common Multiple of 6378 and 6386 = 20364954

Step 1: Find the prime factorization of 6378

6378 = 2 x 3 x 1063

Step 2: Find the prime factorization of 6386

6386 = 2 x 31 x 103

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

LCM = 20364954 = 2 x 3 x 31 x 103 x 1063

Step 4: Therefore, the least common multiple of 6378 and 6386 is 20364954.