Least Common Multiple of 6332 and 6338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6332 and 6338 the smallest integer that is 20066108 that is divisible by both numbers.

Least Common Multiple (LCM) of 6332 and 6338 is 20066108.

LCM(6332,6338) = 20066108

LCM of 6332 and 6338

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

LCM of:
and

Least Common Multiple of 6332 and 6338

LCM of 6332 and 6338 is 20066108

Least common multiple can be found by multiplying the highest exponent prime factors of 6332 and 6338. First we will calculate the prime factors of 6332 and 6338.

Prime Factorization of 6332


2 6332
2 3166
1583 1583
1

Prime factors of 6332 are 2,1583. Prime factorization of 6332 in exponential form is:

6332 = 22×15831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6332 and 6338.

LCM(6332,6338) = 22×15831×31691
LCM(6332,6338) = 20066108

Factors of 6332

List of positive integer factors of 6332 that divides 6332 without a remainder.

1, 2, 4, 1583, 3166, 6332

Factors of 6338

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

1, 2, 3169, 6338

Least Common Multiple of 6332 and 6338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6332 and 6338, than apply into the LCM equation.

GCF(6332,6338) = 2
LCM(6332,6338) = ( 6332 × 6338) / 2
LCM(6332,6338) = 40132216 / 2
LCM(6332,6338) = 20066108

Properties of LCM 6332 and 6338

(i) The LCM of 6338 and 6332 is associative

LCM of 6332 and 6338 = LCM of 6338 and 6332

Related Least Common Multiples of 6332

Related Least Common Multiples of 6338

Frequently Asked Questions on LCM of 6332 and 6338

1. What is the LCM of 6332 and 6338?

Answer: LCM of 6332 and 6338 is 20066108.

2. What are the Factors of 6332?

Answer: Factors of 6332 are 1, 2, 4, 1583, 3166, 6332. There are 6 integers that are factors of 6332. The greatest factor of 6332 is 6332.

3. 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.

4. How to Find the LCM of 6332 and 6338?

Answer:

Least Common Multiple of 6332 and 6338 = 20066108

Step 1: Find the prime factorization of 6332

6332 = 2 x 2 x 1583

Step 2: Find the prime factorization of 6338

6338 = 2 x 3169

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

LCM = 20066108 = 2 x 2 x 1583 x 3169

Step 4: Therefore, the least common multiple of 6332 and 6338 is 20066108.