Least Common Multiple of 6382 and 6388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6382 and 6388 the smallest integer that is 20384108 that is divisible by both numbers.

Least Common Multiple (LCM) of 6382 and 6388 is 20384108.

LCM(6382,6388) = 20384108

LCM of 6382 and 6388

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

LCM of:
and

Least Common Multiple of 6382 and 6388

LCM of 6382 and 6388 is 20384108

Least common multiple can be found by multiplying the highest exponent prime factors of 6382 and 6388. First we will calculate the prime factors of 6382 and 6388.

Prime Factorization of 6382


2 6382
3191 3191
1

Prime factors of 6382 are 2,3191. Prime factorization of 6382 in exponential form is:

6382 = 21×31911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6382 and 6388.

LCM(6382,6388) = 22×15971×31911
LCM(6382,6388) = 20384108

Factors of 6382

List of positive integer factors of 6382 that divides 6382 without a remainder.

1, 2, 3191, 6382

Factors of 6388

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

1, 2, 4, 1597, 3194, 6388

Least Common Multiple of 6382 and 6388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6382 and 6388, than apply into the LCM equation.

GCF(6382,6388) = 2
LCM(6382,6388) = ( 6382 × 6388) / 2
LCM(6382,6388) = 40768216 / 2
LCM(6382,6388) = 20384108

Properties of LCM 6382 and 6388

(i) The LCM of 6388 and 6382 is associative

LCM of 6382 and 6388 = LCM of 6388 and 6382

Related Least Common Multiples of 6382

Related Least Common Multiples of 6388

Frequently Asked Questions on LCM of 6382 and 6388

1. What is the LCM of 6382 and 6388?

Answer: LCM of 6382 and 6388 is 20384108.

2. What are the Factors of 6382?

Answer: Factors of 6382 are 1, 2, 3191, 6382. There are 4 integers that are factors of 6382. The greatest factor of 6382 is 6382.

3. 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.

4. How to Find the LCM of 6382 and 6388?

Answer:

Least Common Multiple of 6382 and 6388 = 20384108

Step 1: Find the prime factorization of 6382

6382 = 2 x 3191

Step 2: Find the prime factorization of 6388

6388 = 2 x 2 x 1597

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

LCM = 20384108 = 2 x 2 x 1597 x 3191

Step 4: Therefore, the least common multiple of 6382 and 6388 is 20384108.