Least Common Multiple of 6390 and 6396

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 6396 the smallest integer that is 6811740 that is divisible by both numbers.

Least Common Multiple (LCM) of 6390 and 6396 is 6811740.

LCM(6390,6396) = 6811740

LCM of 6390 and 6396

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

LCM of:
and

Least Common Multiple of 6390 and 6396

LCM of 6390 and 6396 is 6811740

Least common multiple can be found by multiplying the highest exponent prime factors of 6390 and 6396. First we will calculate the prime factors of 6390 and 6396.

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 6396


2 6396
2 3198
3 1599
13 533
41 41
1

Prime factors of 6396 are 2, 3, 13,41. Prime factorization of 6396 in exponential form is:

6396 = 22×31×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 6390 and 6396.

LCM(6390,6396) = 22×32×51×131×411×711
LCM(6390,6396) = 6811740

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 6396

List of positive integer factors of 6396 that divides 6396 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 41, 52, 78, 82, 123, 156, 164, 246, 492, 533, 1066, 1599, 2132, 3198, 6396

Least Common Multiple of 6390 and 6396 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 6396, than apply into the LCM equation.

GCF(6390,6396) = 6
LCM(6390,6396) = ( 6390 × 6396) / 6
LCM(6390,6396) = 40870440 / 6
LCM(6390,6396) = 6811740

Properties of LCM 6390 and 6396

(i) The LCM of 6396 and 6390 is associative

LCM of 6390 and 6396 = LCM of 6396 and 6390

Related Least Common Multiples of 6390

Related Least Common Multiples of 6396

Frequently Asked Questions on LCM of 6390 and 6396

1. What is the LCM of 6390 and 6396?

Answer: LCM of 6390 and 6396 is 6811740.

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 6396?

Answer: Factors of 6396 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 41, 52, 78, 82, 123, 156, 164, 246, 492, 533, 1066, 1599, 2132, 3198, 6396. There are 24 integers that are factors of 6396. The greatest factor of 6396 is 6396.

4. How to Find the LCM of 6390 and 6396?

Answer:

Least Common Multiple of 6390 and 6396 = 6811740

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 6396

6396 = 2 x 2 x 3 x 13 x 41

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

LCM = 6811740 = 2 x 2 x 3 x 3 x 5 x 13 x 41 x 71

Step 4: Therefore, the least common multiple of 6390 and 6396 is 6811740.