Least Common Multiple of 6032 and 6039

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 6039 the smallest integer that is 36427248 that is divisible by both numbers.

Least Common Multiple (LCM) of 6032 and 6039 is 36427248.

LCM(6032,6039) = 36427248

LCM of 6032 and 6039

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

LCM of:
and

Least Common Multiple of 6032 and 6039

LCM of 6032 and 6039 is 36427248

Least common multiple can be found by multiplying the highest exponent prime factors of 6032 and 6039. First we will calculate the prime factors of 6032 and 6039.

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 6039


3 6039
3 2013
11 671
61 61
1

Prime factors of 6039 are 3, 11,61. Prime factorization of 6039 in exponential form is:

6039 = 32×111×611

Now multiplying the highest exponent prime factors to calculate the LCM of 6032 and 6039.

LCM(6032,6039) = 24×32×111×131×291×611
LCM(6032,6039) = 36427248

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 6039

List of positive integer factors of 6039 that divides 6039 without a remainder.

1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013, 6039

Least Common Multiple of 6032 and 6039 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 6039, than apply into the LCM equation.

GCF(6032,6039) = 1
LCM(6032,6039) = ( 6032 × 6039) / 1
LCM(6032,6039) = 36427248 / 1
LCM(6032,6039) = 36427248

Properties of LCM 6032 and 6039

(i) The LCM of 6039 and 6032 is associative

LCM of 6032 and 6039 = LCM of 6039 and 6032

Related Least Common Multiples of 6032

Related Least Common Multiples of 6039

Frequently Asked Questions on LCM of 6032 and 6039

1. What is the LCM of 6032 and 6039?

Answer: LCM of 6032 and 6039 is 36427248.

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 6039?

Answer: Factors of 6039 are 1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013, 6039. There are 12 integers that are factors of 6039. The greatest factor of 6039 is 6039.

4. How to Find the LCM of 6032 and 6039?

Answer:

Least Common Multiple of 6032 and 6039 = 36427248

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 6039

6039 = 3 x 3 x 11 x 61

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

LCM = 36427248 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 13 x 29 x 61

Step 4: Therefore, the least common multiple of 6032 and 6039 is 36427248.