Least Common Multiple of 6390 and 6398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6390 and 6398 the smallest integer that is 20441610 that is divisible by both numbers.

Least Common Multiple (LCM) of 6390 and 6398 is 20441610.

LCM(6390,6398) = 20441610

LCM of 6390 and 6398

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

LCM of:
and

Least Common Multiple of 6390 and 6398

LCM of 6390 and 6398 is 20441610

Least common multiple can be found by multiplying the highest exponent prime factors of 6390 and 6398. First we will calculate the prime factors of 6390 and 6398.

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

Prime Factorization of 6398


2 6398
7 3199
457 457
1

Prime factors of 6398 are 2, 7,457. Prime factorization of 6398 in exponential form is:

6398 = 21×71×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 6390 and 6398.

LCM(6390,6398) = 21×32×51×71×711×4571
LCM(6390,6398) = 20441610

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

Factors of 6398

List of positive integer factors of 6398 that divides 6398 without a remainder.

1, 2, 7, 14, 457, 914, 3199, 6398

Least Common Multiple of 6390 and 6398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6390 and 6398, than apply into the LCM equation.

GCF(6390,6398) = 2
LCM(6390,6398) = ( 6390 × 6398) / 2
LCM(6390,6398) = 40883220 / 2
LCM(6390,6398) = 20441610

Properties of LCM 6390 and 6398

(i) The LCM of 6398 and 6390 is associative

LCM of 6390 and 6398 = LCM of 6398 and 6390

Related Least Common Multiples of 6390

Related Least Common Multiples of 6398

Frequently Asked Questions on LCM of 6390 and 6398

1. What is the LCM of 6390 and 6398?

Answer: LCM of 6390 and 6398 is 20441610.

2. 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.

3. What are the Factors of 6398?

Answer: Factors of 6398 are 1, 2, 7, 14, 457, 914, 3199, 6398. There are 8 integers that are factors of 6398. The greatest factor of 6398 is 6398.

4. How to Find the LCM of 6390 and 6398?

Answer:

Least Common Multiple of 6390 and 6398 = 20441610

Step 1: Find the prime factorization of 6390

6390 = 2 x 3 x 3 x 5 x 71

Step 2: Find the prime factorization of 6398

6398 = 2 x 7 x 457

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

LCM = 20441610 = 2 x 3 x 3 x 5 x 7 x 71 x 457

Step 4: Therefore, the least common multiple of 6390 and 6398 is 20441610.