Least Common Multiple of 6039 and 6045

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 6045 the smallest integer that is 12168585 that is divisible by both numbers.

Least Common Multiple (LCM) of 6039 and 6045 is 12168585.

LCM(6039,6045) = 12168585

LCM of 6039 and 6045

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

LCM of:
and

Least Common Multiple of 6039 and 6045

LCM of 6039 and 6045 is 12168585

Least common multiple can be found by multiplying the highest exponent prime factors of 6039 and 6045. First we will calculate the prime factors of 6039 and 6045.

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 6045


3 6045
5 2015
13 403
31 31
1

Prime factors of 6045 are 3, 5, 13,31. Prime factorization of 6045 in exponential form is:

6045 = 31×51×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 6039 and 6045.

LCM(6039,6045) = 32×51×111×131×311×611
LCM(6039,6045) = 12168585

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 6045

List of positive integer factors of 6045 that divides 6045 without a remainder.

1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045

Least Common Multiple of 6039 and 6045 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 6045, than apply into the LCM equation.

GCF(6039,6045) = 3
LCM(6039,6045) = ( 6039 × 6045) / 3
LCM(6039,6045) = 36505755 / 3
LCM(6039,6045) = 12168585

Properties of LCM 6039 and 6045

(i) The LCM of 6045 and 6039 is associative

LCM of 6039 and 6045 = LCM of 6045 and 6039

Related Least Common Multiples of 6039

Related Least Common Multiples of 6045

Frequently Asked Questions on LCM of 6039 and 6045

1. What is the LCM of 6039 and 6045?

Answer: LCM of 6039 and 6045 is 12168585.

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 6045?

Answer: Factors of 6045 are 1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045. There are 16 integers that are factors of 6045. The greatest factor of 6045 is 6045.

4. How to Find the LCM of 6039 and 6045?

Answer:

Least Common Multiple of 6039 and 6045 = 12168585

Step 1: Find the prime factorization of 6039

6039 = 3 x 3 x 11 x 61

Step 2: Find the prime factorization of 6045

6045 = 3 x 5 x 13 x 31

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

LCM = 12168585 = 3 x 3 x 5 x 11 x 13 x 31 x 61

Step 4: Therefore, the least common multiple of 6039 and 6045 is 12168585.