Least Common Multiple of 6039 and 6047

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 6047 the smallest integer that is 36517833 that is divisible by both numbers.

Least Common Multiple (LCM) of 6039 and 6047 is 36517833.

LCM(6039,6047) = 36517833

LCM of 6039 and 6047

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

LCM of:
and

Least Common Multiple of 6039 and 6047

LCM of 6039 and 6047 is 36517833

Least common multiple can be found by multiplying the highest exponent prime factors of 6039 and 6047. First we will calculate the prime factors of 6039 and 6047.

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 6047


6047 6047
1

Prime factors of 6047 are 6047. Prime factorization of 6047 in exponential form is:

6047 = 60471

Now multiplying the highest exponent prime factors to calculate the LCM of 6039 and 6047.

LCM(6039,6047) = 32×111×611×60471
LCM(6039,6047) = 36517833

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 6047

List of positive integer factors of 6047 that divides 6047 without a remainder.

1, 6047

Least Common Multiple of 6039 and 6047 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 6047, than apply into the LCM equation.

GCF(6039,6047) = 1
LCM(6039,6047) = ( 6039 × 6047) / 1
LCM(6039,6047) = 36517833 / 1
LCM(6039,6047) = 36517833

Properties of LCM 6039 and 6047

(i) The LCM of 6047 and 6039 is associative

LCM of 6039 and 6047 = LCM of 6047 and 6039

Related Least Common Multiples of 6039

Related Least Common Multiples of 6047

Frequently Asked Questions on LCM of 6039 and 6047

1. What is the LCM of 6039 and 6047?

Answer: LCM of 6039 and 6047 is 36517833.

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 6047?

Answer: Factors of 6047 are 1, 6047. There are 2 integers that are factors of 6047. The greatest factor of 6047 is 6047.

4. How to Find the LCM of 6039 and 6047?

Answer:

Least Common Multiple of 6039 and 6047 = 36517833

Step 1: Find the prime factorization of 6039

6039 = 3 x 3 x 11 x 61

Step 2: Find the prime factorization of 6047

6047 = 6047

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

LCM = 36517833 = 3 x 3 x 11 x 61 x 6047

Step 4: Therefore, the least common multiple of 6039 and 6047 is 36517833.