Least Common Multiple of 6032 and 6038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6032 and 6038 the smallest integer that is 18210608 that is divisible by both numbers.

Least Common Multiple (LCM) of 6032 and 6038 is 18210608.

LCM(6032,6038) = 18210608

LCM of 6032 and 6038

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

LCM of:
and

Least Common Multiple of 6032 and 6038

LCM of 6032 and 6038 is 18210608

Least common multiple can be found by multiplying the highest exponent prime factors of 6032 and 6038. First we will calculate the prime factors of 6032 and 6038.

Prime Factorization of 6032


2 6032
2 3016
2 1508
2 754
13 377
29 29
1

Prime factors of 6032 are 2, 13,29. Prime factorization of 6032 in exponential form is:

6032 = 24×131×291

Prime Factorization of 6038


2 6038
3019 3019
1

Prime factors of 6038 are 2,3019. Prime factorization of 6038 in exponential form is:

6038 = 21×30191

Now multiplying the highest exponent prime factors to calculate the LCM of 6032 and 6038.

LCM(6032,6038) = 24×131×291×30191
LCM(6032,6038) = 18210608

Factors of 6032

List of positive integer factors of 6032 that divides 6032 without a remainder.

1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016, 6032

Factors of 6038

List of positive integer factors of 6038 that divides 6038 without a remainder.

1, 2, 3019, 6038

Least Common Multiple of 6032 and 6038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6032 and 6038, than apply into the LCM equation.

GCF(6032,6038) = 2
LCM(6032,6038) = ( 6032 × 6038) / 2
LCM(6032,6038) = 36421216 / 2
LCM(6032,6038) = 18210608

Properties of LCM 6032 and 6038

(i) The LCM of 6038 and 6032 is associative

LCM of 6032 and 6038 = LCM of 6038 and 6032

Related Least Common Multiples of 6032

Related Least Common Multiples of 6038

Frequently Asked Questions on LCM of 6032 and 6038

1. What is the LCM of 6032 and 6038?

Answer: LCM of 6032 and 6038 is 18210608.

2. What are the Factors of 6032?

Answer: Factors of 6032 are 1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016, 6032. There are 20 integers that are factors of 6032. The greatest factor of 6032 is 6032.

3. What are the Factors of 6038?

Answer: Factors of 6038 are 1, 2, 3019, 6038. There are 4 integers that are factors of 6038. The greatest factor of 6038 is 6038.

4. How to Find the LCM of 6032 and 6038?

Answer:

Least Common Multiple of 6032 and 6038 = 18210608

Step 1: Find the prime factorization of 6032

6032 = 2 x 2 x 2 x 2 x 13 x 29

Step 2: Find the prime factorization of 6038

6038 = 2 x 3019

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

LCM = 18210608 = 2 x 2 x 2 x 2 x 13 x 29 x 3019

Step 4: Therefore, the least common multiple of 6032 and 6038 is 18210608.