Least Common Multiple of 6338 and 6343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6338 and 6343 the smallest integer that is 40201934 that is divisible by both numbers.

Least Common Multiple (LCM) of 6338 and 6343 is 40201934.

LCM(6338,6343) = 40201934

LCM of 6338 and 6343

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

LCM of:
and

Least Common Multiple of 6338 and 6343

LCM of 6338 and 6343 is 40201934

Least common multiple can be found by multiplying the highest exponent prime factors of 6338 and 6343. First we will calculate the prime factors of 6338 and 6343.

Prime Factorization of 6338


2 6338
3169 3169
1

Prime factors of 6338 are 2,3169. Prime factorization of 6338 in exponential form is:

6338 = 21×31691

Prime Factorization of 6343


6343 6343
1

Prime factors of 6343 are 6343. Prime factorization of 6343 in exponential form is:

6343 = 63431

Now multiplying the highest exponent prime factors to calculate the LCM of 6338 and 6343.

LCM(6338,6343) = 21×31691×63431
LCM(6338,6343) = 40201934

Factors of 6338

List of positive integer factors of 6338 that divides 6338 without a remainder.

1, 2, 3169, 6338

Factors of 6343

List of positive integer factors of 6343 that divides 6343 without a remainder.

1, 6343

Least Common Multiple of 6338 and 6343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6338 and 6343, than apply into the LCM equation.

GCF(6338,6343) = 1
LCM(6338,6343) = ( 6338 × 6343) / 1
LCM(6338,6343) = 40201934 / 1
LCM(6338,6343) = 40201934

Properties of LCM 6338 and 6343

(i) The LCM of 6343 and 6338 is associative

LCM of 6338 and 6343 = LCM of 6343 and 6338

Related Least Common Multiples of 6338

Related Least Common Multiples of 6343

Frequently Asked Questions on LCM of 6338 and 6343

1. What is the LCM of 6338 and 6343?

Answer: LCM of 6338 and 6343 is 40201934.

2. What are the Factors of 6338?

Answer: Factors of 6338 are 1, 2, 3169, 6338. There are 4 integers that are factors of 6338. The greatest factor of 6338 is 6338.

3. What are the Factors of 6343?

Answer: Factors of 6343 are 1, 6343. There are 2 integers that are factors of 6343. The greatest factor of 6343 is 6343.

4. How to Find the LCM of 6338 and 6343?

Answer:

Least Common Multiple of 6338 and 6343 = 40201934

Step 1: Find the prime factorization of 6338

6338 = 2 x 3169

Step 2: Find the prime factorization of 6343

6343 = 6343

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

LCM = 40201934 = 2 x 3169 x 6343

Step 4: Therefore, the least common multiple of 6338 and 6343 is 40201934.