Least Common Multiple of 6386 and 6390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6386 and 6390 the smallest integer that is 20403270 that is divisible by both numbers.

Least Common Multiple (LCM) of 6386 and 6390 is 20403270.

LCM(6386,6390) = 20403270

LCM of 6386 and 6390

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

LCM of:
and

Least Common Multiple of 6386 and 6390

LCM of 6386 and 6390 is 20403270

Least common multiple can be found by multiplying the highest exponent prime factors of 6386 and 6390. First we will calculate the prime factors of 6386 and 6390.

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

Prime Factorization of 6390


2 6390
3 3195
3 1065
5 355
71 71
1

Prime factors of 6390 are 2, 3, 5,71. Prime factorization of 6390 in exponential form is:

6390 = 21×32×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 6386 and 6390.

LCM(6386,6390) = 21×32×51×311×711×1031
LCM(6386,6390) = 20403270

Factors of 6386

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

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

Factors of 6390

List of positive integer factors of 6390 that divides 6390 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 71, 90, 142, 213, 355, 426, 639, 710, 1065, 1278, 2130, 3195, 6390

Least Common Multiple of 6386 and 6390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6386 and 6390, than apply into the LCM equation.

GCF(6386,6390) = 2
LCM(6386,6390) = ( 6386 × 6390) / 2
LCM(6386,6390) = 40806540 / 2
LCM(6386,6390) = 20403270

Properties of LCM 6386 and 6390

(i) The LCM of 6390 and 6386 is associative

LCM of 6386 and 6390 = LCM of 6390 and 6386

Related Least Common Multiples of 6386

Related Least Common Multiples of 6390

Frequently Asked Questions on LCM of 6386 and 6390

1. What is the LCM of 6386 and 6390?

Answer: LCM of 6386 and 6390 is 20403270.

2. 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.

3. What are the Factors of 6390?

Answer: Factors of 6390 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 71, 90, 142, 213, 355, 426, 639, 710, 1065, 1278, 2130, 3195, 6390. There are 24 integers that are factors of 6390. The greatest factor of 6390 is 6390.

4. How to Find the LCM of 6386 and 6390?

Answer:

Least Common Multiple of 6386 and 6390 = 20403270

Step 1: Find the prime factorization of 6386

6386 = 2 x 31 x 103

Step 2: Find the prime factorization of 6390

6390 = 2 x 3 x 3 x 5 x 71

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

LCM = 20403270 = 2 x 3 x 3 x 5 x 31 x 71 x 103

Step 4: Therefore, the least common multiple of 6386 and 6390 is 20403270.