Least Common Multiple of 6338 and 6342

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 6342 the smallest integer that is 20097798 that is divisible by both numbers.

Least Common Multiple (LCM) of 6338 and 6342 is 20097798.

LCM(6338,6342) = 20097798

LCM of 6338 and 6342

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

LCM of:
and

Least Common Multiple of 6338 and 6342

LCM of 6338 and 6342 is 20097798

Least common multiple can be found by multiplying the highest exponent prime factors of 6338 and 6342. First we will calculate the prime factors of 6338 and 6342.

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 6342


2 6342
3 3171
7 1057
151 151
1

Prime factors of 6342 are 2, 3, 7,151. Prime factorization of 6342 in exponential form is:

6342 = 21×31×71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 6338 and 6342.

LCM(6338,6342) = 21×31×71×1511×31691
LCM(6338,6342) = 20097798

Factors of 6338

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

1, 2, 3169, 6338

Factors of 6342

List of positive integer factors of 6342 that divides 6342 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342

Least Common Multiple of 6338 and 6342 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 6342, than apply into the LCM equation.

GCF(6338,6342) = 2
LCM(6338,6342) = ( 6338 × 6342) / 2
LCM(6338,6342) = 40195596 / 2
LCM(6338,6342) = 20097798

Properties of LCM 6338 and 6342

(i) The LCM of 6342 and 6338 is associative

LCM of 6338 and 6342 = LCM of 6342 and 6338

Related Least Common Multiples of 6338

Related Least Common Multiples of 6342

Frequently Asked Questions on LCM of 6338 and 6342

1. What is the LCM of 6338 and 6342?

Answer: LCM of 6338 and 6342 is 20097798.

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 6342?

Answer: Factors of 6342 are 1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342. There are 16 integers that are factors of 6342. The greatest factor of 6342 is 6342.

4. How to Find the LCM of 6338 and 6342?

Answer:

Least Common Multiple of 6338 and 6342 = 20097798

Step 1: Find the prime factorization of 6338

6338 = 2 x 3169

Step 2: Find the prime factorization of 6342

6342 = 2 x 3 x 7 x 151

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

LCM = 20097798 = 2 x 3 x 7 x 151 x 3169

Step 4: Therefore, the least common multiple of 6338 and 6342 is 20097798.