Least Common Multiple of 4039 and 4044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4039 and 4044 the smallest integer that is 16333716 that is divisible by both numbers.

Least Common Multiple (LCM) of 4039 and 4044 is 16333716.

LCM(4039,4044) = 16333716

LCM of 4039 and 4044

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

LCM of:
and

Least Common Multiple of 4039 and 4044

LCM of 4039 and 4044 is 16333716

Least common multiple can be found by multiplying the highest exponent prime factors of 4039 and 4044. First we will calculate the prime factors of 4039 and 4044.

Prime Factorization of 4039


7 4039
577 577
1

Prime factors of 4039 are 7,577. Prime factorization of 4039 in exponential form is:

4039 = 71×5771

Prime Factorization of 4044


2 4044
2 2022
3 1011
337 337
1

Prime factors of 4044 are 2, 3,337. Prime factorization of 4044 in exponential form is:

4044 = 22×31×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 4039 and 4044.

LCM(4039,4044) = 22×31×71×3371×5771
LCM(4039,4044) = 16333716

Factors of 4039

List of positive integer factors of 4039 that divides 4039 without a remainder.

1, 7, 577, 4039

Factors of 4044

List of positive integer factors of 4044 that divides 4044 without a remainder.

1, 2, 3, 4, 6, 12, 337, 674, 1011, 1348, 2022, 4044

Least Common Multiple of 4039 and 4044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4039 and 4044, than apply into the LCM equation.

GCF(4039,4044) = 1
LCM(4039,4044) = ( 4039 × 4044) / 1
LCM(4039,4044) = 16333716 / 1
LCM(4039,4044) = 16333716

Properties of LCM 4039 and 4044

(i) The LCM of 4044 and 4039 is associative

LCM of 4039 and 4044 = LCM of 4044 and 4039

Related Least Common Multiples of 4039

Related Least Common Multiples of 4044

Frequently Asked Questions on LCM of 4039 and 4044

1. What is the LCM of 4039 and 4044?

Answer: LCM of 4039 and 4044 is 16333716.

2. What are the Factors of 4039?

Answer: Factors of 4039 are 1, 7, 577, 4039. There are 4 integers that are factors of 4039. The greatest factor of 4039 is 4039.

3. What are the Factors of 4044?

Answer: Factors of 4044 are 1, 2, 3, 4, 6, 12, 337, 674, 1011, 1348, 2022, 4044. There are 12 integers that are factors of 4044. The greatest factor of 4044 is 4044.

4. How to Find the LCM of 4039 and 4044?

Answer:

Least Common Multiple of 4039 and 4044 = 16333716

Step 1: Find the prime factorization of 4039

4039 = 7 x 577

Step 2: Find the prime factorization of 4044

4044 = 2 x 2 x 3 x 337

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

LCM = 16333716 = 2 x 2 x 3 x 7 x 337 x 577

Step 4: Therefore, the least common multiple of 4039 and 4044 is 16333716.