Least Common Multiple of 3039 and 3045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3039 and 3045 the smallest integer that is 3084585 that is divisible by both numbers.

Least Common Multiple (LCM) of 3039 and 3045 is 3084585.

LCM(3039,3045) = 3084585

LCM of 3039 and 3045

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

LCM of:
and

Least Common Multiple of 3039 and 3045

LCM of 3039 and 3045 is 3084585

Least common multiple can be found by multiplying the highest exponent prime factors of 3039 and 3045. First we will calculate the prime factors of 3039 and 3045.

Prime Factorization of 3039


3 3039
1013 1013
1

Prime factors of 3039 are 3,1013. Prime factorization of 3039 in exponential form is:

3039 = 31×10131

Prime Factorization of 3045


3 3045
5 1015
7 203
29 29
1

Prime factors of 3045 are 3, 5, 7,29. Prime factorization of 3045 in exponential form is:

3045 = 31×51×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3039 and 3045.

LCM(3039,3045) = 31×51×71×291×10131
LCM(3039,3045) = 3084585

Factors of 3039

List of positive integer factors of 3039 that divides 3039 without a remainder.

1, 3, 1013, 3039

Factors of 3045

List of positive integer factors of 3045 that divides 3045 without a remainder.

1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045

Least Common Multiple of 3039 and 3045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3039 and 3045, than apply into the LCM equation.

GCF(3039,3045) = 3
LCM(3039,3045) = ( 3039 × 3045) / 3
LCM(3039,3045) = 9253755 / 3
LCM(3039,3045) = 3084585

Properties of LCM 3039 and 3045

(i) The LCM of 3045 and 3039 is associative

LCM of 3039 and 3045 = LCM of 3045 and 3039

Related Least Common Multiples of 3039

Related Least Common Multiples of 3045

Frequently Asked Questions on LCM of 3039 and 3045

1. What is the LCM of 3039 and 3045?

Answer: LCM of 3039 and 3045 is 3084585.

2. What are the Factors of 3039?

Answer: Factors of 3039 are 1, 3, 1013, 3039. There are 4 integers that are factors of 3039. The greatest factor of 3039 is 3039.

3. What are the Factors of 3045?

Answer: Factors of 3045 are 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045. There are 16 integers that are factors of 3045. The greatest factor of 3045 is 3045.

4. How to Find the LCM of 3039 and 3045?

Answer:

Least Common Multiple of 3039 and 3045 = 3084585

Step 1: Find the prime factorization of 3039

3039 = 3 x 1013

Step 2: Find the prime factorization of 3045

3045 = 3 x 5 x 7 x 29

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

LCM = 3084585 = 3 x 5 x 7 x 29 x 1013

Step 4: Therefore, the least common multiple of 3039 and 3045 is 3084585.