Least Common Multiple of 6232 and 6239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6232 and 6239 the smallest integer that is 38881448 that is divisible by both numbers.

Least Common Multiple (LCM) of 6232 and 6239 is 38881448.

LCM(6232,6239) = 38881448

LCM of 6232 and 6239

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

LCM of:
and

Least Common Multiple of 6232 and 6239

LCM of 6232 and 6239 is 38881448

Least common multiple can be found by multiplying the highest exponent prime factors of 6232 and 6239. First we will calculate the prime factors of 6232 and 6239.

Prime Factorization of 6232


2 6232
2 3116
2 1558
19 779
41 41
1

Prime factors of 6232 are 2, 19,41. Prime factorization of 6232 in exponential form is:

6232 = 23×191×411

Prime Factorization of 6239


17 6239
367 367
1

Prime factors of 6239 are 17,367. Prime factorization of 6239 in exponential form is:

6239 = 171×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 6232 and 6239.

LCM(6232,6239) = 23×171×191×411×3671
LCM(6232,6239) = 38881448

Factors of 6232

List of positive integer factors of 6232 that divides 6232 without a remainder.

1, 2, 4, 8, 19, 38, 41, 76, 82, 152, 164, 328, 779, 1558, 3116, 6232

Factors of 6239

List of positive integer factors of 6239 that divides 6239 without a remainder.

1, 17, 367, 6239

Least Common Multiple of 6232 and 6239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6232 and 6239, than apply into the LCM equation.

GCF(6232,6239) = 1
LCM(6232,6239) = ( 6232 × 6239) / 1
LCM(6232,6239) = 38881448 / 1
LCM(6232,6239) = 38881448

Properties of LCM 6232 and 6239

(i) The LCM of 6239 and 6232 is associative

LCM of 6232 and 6239 = LCM of 6239 and 6232

Related Least Common Multiples of 6232

Related Least Common Multiples of 6239

Frequently Asked Questions on LCM of 6232 and 6239

1. What is the LCM of 6232 and 6239?

Answer: LCM of 6232 and 6239 is 38881448.

2. What are the Factors of 6232?

Answer: Factors of 6232 are 1, 2, 4, 8, 19, 38, 41, 76, 82, 152, 164, 328, 779, 1558, 3116, 6232. There are 16 integers that are factors of 6232. The greatest factor of 6232 is 6232.

3. What are the Factors of 6239?

Answer: Factors of 6239 are 1, 17, 367, 6239. There are 4 integers that are factors of 6239. The greatest factor of 6239 is 6239.

4. How to Find the LCM of 6232 and 6239?

Answer:

Least Common Multiple of 6232 and 6239 = 38881448

Step 1: Find the prime factorization of 6232

6232 = 2 x 2 x 2 x 19 x 41

Step 2: Find the prime factorization of 6239

6239 = 17 x 367

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

LCM = 38881448 = 2 x 2 x 2 x 17 x 19 x 41 x 367

Step 4: Therefore, the least common multiple of 6232 and 6239 is 38881448.