Least Common Multiple of 6388 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 6388 and 6396 the smallest integer that is 10214412 that is divisible by both numbers.

Least Common Multiple (LCM) of 6388 and 6396 is 10214412.

LCM(6388,6396) = 10214412

LCM of 6388 and 6396

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

LCM of:
and

Least Common Multiple of 6388 and 6396

LCM of 6388 and 6396 is 10214412

Least common multiple can be found by multiplying the highest exponent prime factors of 6388 and 6396. First we will calculate the prime factors of 6388 and 6396.

Prime Factorization of 6388


2 6388
2 3194
1597 1597
1

Prime factors of 6388 are 2,1597. Prime factorization of 6388 in exponential form is:

6388 = 22×15971

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 6388 and 6396.

LCM(6388,6396) = 22×31×131×411×15971
LCM(6388,6396) = 10214412

Factors of 6388

List of positive integer factors of 6388 that divides 6388 without a remainder.

1, 2, 4, 1597, 3194, 6388

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 6388 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 6388 and 6396, than apply into the LCM equation.

GCF(6388,6396) = 4
LCM(6388,6396) = ( 6388 × 6396) / 4
LCM(6388,6396) = 40857648 / 4
LCM(6388,6396) = 10214412

Properties of LCM 6388 and 6396

(i) The LCM of 6396 and 6388 is associative

LCM of 6388 and 6396 = LCM of 6396 and 6388

Related Least Common Multiples of 6388

Related Least Common Multiples of 6396

Frequently Asked Questions on LCM of 6388 and 6396

1. What is the LCM of 6388 and 6396?

Answer: LCM of 6388 and 6396 is 10214412.

2. What are the Factors of 6388?

Answer: Factors of 6388 are 1, 2, 4, 1597, 3194, 6388. There are 6 integers that are factors of 6388. The greatest factor of 6388 is 6388.

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 6388 and 6396?

Answer:

Least Common Multiple of 6388 and 6396 = 10214412

Step 1: Find the prime factorization of 6388

6388 = 2 x 2 x 1597

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 = 10214412 = 2 x 2 x 3 x 13 x 41 x 1597

Step 4: Therefore, the least common multiple of 6388 and 6396 is 10214412.