Least Common Multiple of 6039 and 6044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6039 and 6044 the smallest integer that is 36499716 that is divisible by both numbers.

Least Common Multiple (LCM) of 6039 and 6044 is 36499716.

LCM(6039,6044) = 36499716

LCM of 6039 and 6044

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

LCM of:
and

Least Common Multiple of 6039 and 6044

LCM of 6039 and 6044 is 36499716

Least common multiple can be found by multiplying the highest exponent prime factors of 6039 and 6044. First we will calculate the prime factors of 6039 and 6044.

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

Prime Factorization of 6044


2 6044
2 3022
1511 1511
1

Prime factors of 6044 are 2,1511. Prime factorization of 6044 in exponential form is:

6044 = 22×15111

Now multiplying the highest exponent prime factors to calculate the LCM of 6039 and 6044.

LCM(6039,6044) = 22×32×111×611×15111
LCM(6039,6044) = 36499716

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

Factors of 6044

List of positive integer factors of 6044 that divides 6044 without a remainder.

1, 2, 4, 1511, 3022, 6044

Least Common Multiple of 6039 and 6044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6039 and 6044, than apply into the LCM equation.

GCF(6039,6044) = 1
LCM(6039,6044) = ( 6039 × 6044) / 1
LCM(6039,6044) = 36499716 / 1
LCM(6039,6044) = 36499716

Properties of LCM 6039 and 6044

(i) The LCM of 6044 and 6039 is associative

LCM of 6039 and 6044 = LCM of 6044 and 6039

Related Least Common Multiples of 6039

Related Least Common Multiples of 6044

Frequently Asked Questions on LCM of 6039 and 6044

1. What is the LCM of 6039 and 6044?

Answer: LCM of 6039 and 6044 is 36499716.

2. 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.

3. What are the Factors of 6044?

Answer: Factors of 6044 are 1, 2, 4, 1511, 3022, 6044. There are 6 integers that are factors of 6044. The greatest factor of 6044 is 6044.

4. How to Find the LCM of 6039 and 6044?

Answer:

Least Common Multiple of 6039 and 6044 = 36499716

Step 1: Find the prime factorization of 6039

6039 = 3 x 3 x 11 x 61

Step 2: Find the prime factorization of 6044

6044 = 2 x 2 x 1511

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

LCM = 36499716 = 2 x 2 x 3 x 3 x 11 x 61 x 1511

Step 4: Therefore, the least common multiple of 6039 and 6044 is 36499716.