Least Common Multiple of 3039 and 3044

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 3044 the smallest integer that is 9250716 that is divisible by both numbers.

Least Common Multiple (LCM) of 3039 and 3044 is 9250716.

LCM(3039,3044) = 9250716

LCM of 3039 and 3044

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

LCM of:
and

Least Common Multiple of 3039 and 3044

LCM of 3039 and 3044 is 9250716

Least common multiple can be found by multiplying the highest exponent prime factors of 3039 and 3044. First we will calculate the prime factors of 3039 and 3044.

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 3044


2 3044
2 1522
761 761
1

Prime factors of 3044 are 2,761. Prime factorization of 3044 in exponential form is:

3044 = 22×7611

Now multiplying the highest exponent prime factors to calculate the LCM of 3039 and 3044.

LCM(3039,3044) = 22×31×7611×10131
LCM(3039,3044) = 9250716

Factors of 3039

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

1, 3, 1013, 3039

Factors of 3044

List of positive integer factors of 3044 that divides 3044 without a remainder.

1, 2, 4, 761, 1522, 3044

Least Common Multiple of 3039 and 3044 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 3044, than apply into the LCM equation.

GCF(3039,3044) = 1
LCM(3039,3044) = ( 3039 × 3044) / 1
LCM(3039,3044) = 9250716 / 1
LCM(3039,3044) = 9250716

Properties of LCM 3039 and 3044

(i) The LCM of 3044 and 3039 is associative

LCM of 3039 and 3044 = LCM of 3044 and 3039

Related Least Common Multiples of 3039

Related Least Common Multiples of 3044

Frequently Asked Questions on LCM of 3039 and 3044

1. What is the LCM of 3039 and 3044?

Answer: LCM of 3039 and 3044 is 9250716.

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 3044?

Answer: Factors of 3044 are 1, 2, 4, 761, 1522, 3044. There are 6 integers that are factors of 3044. The greatest factor of 3044 is 3044.

4. How to Find the LCM of 3039 and 3044?

Answer:

Least Common Multiple of 3039 and 3044 = 9250716

Step 1: Find the prime factorization of 3039

3039 = 3 x 1013

Step 2: Find the prime factorization of 3044

3044 = 2 x 2 x 761

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

LCM = 9250716 = 2 x 2 x 3 x 761 x 1013

Step 4: Therefore, the least common multiple of 3039 and 3044 is 9250716.