Least Common Multiple of 6338 and 6345

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 6345 the smallest integer that is 40214610 that is divisible by both numbers.

Least Common Multiple (LCM) of 6338 and 6345 is 40214610.

LCM(6338,6345) = 40214610

LCM of 6338 and 6345

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

LCM of:
and

Least Common Multiple of 6338 and 6345

LCM of 6338 and 6345 is 40214610

Least common multiple can be found by multiplying the highest exponent prime factors of 6338 and 6345. First we will calculate the prime factors of 6338 and 6345.

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 6345


3 6345
3 2115
3 705
5 235
47 47
1

Prime factors of 6345 are 3, 5,47. Prime factorization of 6345 in exponential form is:

6345 = 33×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 6338 and 6345.

LCM(6338,6345) = 21×33×51×471×31691
LCM(6338,6345) = 40214610

Factors of 6338

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

1, 2, 3169, 6338

Factors of 6345

List of positive integer factors of 6345 that divides 6345 without a remainder.

1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345

Least Common Multiple of 6338 and 6345 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 6345, than apply into the LCM equation.

GCF(6338,6345) = 1
LCM(6338,6345) = ( 6338 × 6345) / 1
LCM(6338,6345) = 40214610 / 1
LCM(6338,6345) = 40214610

Properties of LCM 6338 and 6345

(i) The LCM of 6345 and 6338 is associative

LCM of 6338 and 6345 = LCM of 6345 and 6338

Related Least Common Multiples of 6338

Related Least Common Multiples of 6345

Frequently Asked Questions on LCM of 6338 and 6345

1. What is the LCM of 6338 and 6345?

Answer: LCM of 6338 and 6345 is 40214610.

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 6345?

Answer: Factors of 6345 are 1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345. There are 16 integers that are factors of 6345. The greatest factor of 6345 is 6345.

4. How to Find the LCM of 6338 and 6345?

Answer:

Least Common Multiple of 6338 and 6345 = 40214610

Step 1: Find the prime factorization of 6338

6338 = 2 x 3169

Step 2: Find the prime factorization of 6345

6345 = 3 x 3 x 3 x 5 x 47

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

LCM = 40214610 = 2 x 3 x 3 x 3 x 5 x 47 x 3169

Step 4: Therefore, the least common multiple of 6338 and 6345 is 40214610.