Least Common Multiple of 6039 and 6043

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 6043 the smallest integer that is 36493677 that is divisible by both numbers.

Least Common Multiple (LCM) of 6039 and 6043 is 36493677.

LCM(6039,6043) = 36493677

LCM of 6039 and 6043

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

LCM of:
and

Least Common Multiple of 6039 and 6043

LCM of 6039 and 6043 is 36493677

Least common multiple can be found by multiplying the highest exponent prime factors of 6039 and 6043. First we will calculate the prime factors of 6039 and 6043.

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 6043


6043 6043
1

Prime factors of 6043 are 6043. Prime factorization of 6043 in exponential form is:

6043 = 60431

Now multiplying the highest exponent prime factors to calculate the LCM of 6039 and 6043.

LCM(6039,6043) = 32×111×611×60431
LCM(6039,6043) = 36493677

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 6043

List of positive integer factors of 6043 that divides 6043 without a remainder.

1, 6043

Least Common Multiple of 6039 and 6043 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 6043, than apply into the LCM equation.

GCF(6039,6043) = 1
LCM(6039,6043) = ( 6039 × 6043) / 1
LCM(6039,6043) = 36493677 / 1
LCM(6039,6043) = 36493677

Properties of LCM 6039 and 6043

(i) The LCM of 6043 and 6039 is associative

LCM of 6039 and 6043 = LCM of 6043 and 6039

Related Least Common Multiples of 6039

Related Least Common Multiples of 6043

Frequently Asked Questions on LCM of 6039 and 6043

1. What is the LCM of 6039 and 6043?

Answer: LCM of 6039 and 6043 is 36493677.

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 6043?

Answer: Factors of 6043 are 1, 6043. There are 2 integers that are factors of 6043. The greatest factor of 6043 is 6043.

4. How to Find the LCM of 6039 and 6043?

Answer:

Least Common Multiple of 6039 and 6043 = 36493677

Step 1: Find the prime factorization of 6039

6039 = 3 x 3 x 11 x 61

Step 2: Find the prime factorization of 6043

6043 = 6043

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

LCM = 36493677 = 3 x 3 x 11 x 61 x 6043

Step 4: Therefore, the least common multiple of 6039 and 6043 is 36493677.