Least Common Multiple of 1039 and 1044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1039 and 1044 the smallest integer that is 1084716 that is divisible by both numbers.

Least Common Multiple (LCM) of 1039 and 1044 is 1084716.

LCM(1039,1044) = 1084716

LCM of 1039 and 1044

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

LCM of:
and

Least Common Multiple of 1039 and 1044

LCM of 1039 and 1044 is 1084716

Least common multiple can be found by multiplying the highest exponent prime factors of 1039 and 1044. First we will calculate the prime factors of 1039 and 1044.

Prime Factorization of 1039


1039 1039
1

Prime factors of 1039 are 1039. Prime factorization of 1039 in exponential form is:

1039 = 10391

Prime Factorization of 1044


2 1044
2 522
3 261
3 87
29 29
1

Prime factors of 1044 are 2, 3,29. Prime factorization of 1044 in exponential form is:

1044 = 22×32×291

Now multiplying the highest exponent prime factors to calculate the LCM of 1039 and 1044.

LCM(1039,1044) = 22×32×291×10391
LCM(1039,1044) = 1084716

Factors of 1039

List of positive integer factors of 1039 that divides 1039 without a remainder.

1, 1039

Factors of 1044

List of positive integer factors of 1044 that divides 1044 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044

Least Common Multiple of 1039 and 1044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1039 and 1044, than apply into the LCM equation.

GCF(1039,1044) = 1
LCM(1039,1044) = ( 1039 × 1044) / 1
LCM(1039,1044) = 1084716 / 1
LCM(1039,1044) = 1084716

Properties of LCM 1039 and 1044

(i) The LCM of 1044 and 1039 is associative

LCM of 1039 and 1044 = LCM of 1044 and 1039

Related Least Common Multiples of 1039

Related Least Common Multiples of 1044

Frequently Asked Questions on LCM of 1039 and 1044

1. What is the LCM of 1039 and 1044?

Answer: LCM of 1039 and 1044 is 1084716.

2. What are the Factors of 1039?

Answer: Factors of 1039 are 1, 1039. There are 2 integers that are factors of 1039. The greatest factor of 1039 is 1039.

3. What are the Factors of 1044?

Answer: Factors of 1044 are 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044. There are 18 integers that are factors of 1044. The greatest factor of 1044 is 1044.

4. How to Find the LCM of 1039 and 1044?

Answer:

Least Common Multiple of 1039 and 1044 = 1084716

Step 1: Find the prime factorization of 1039

1039 = 1039

Step 2: Find the prime factorization of 1044

1044 = 2 x 2 x 3 x 3 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 = 1084716 = 2 x 2 x 3 x 3 x 29 x 1039

Step 4: Therefore, the least common multiple of 1039 and 1044 is 1084716.