Least Common Multiple of 1037 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 1037 and 1044 the smallest integer that is 1082628 that is divisible by both numbers.

Least Common Multiple (LCM) of 1037 and 1044 is 1082628.

LCM(1037,1044) = 1082628

LCM of 1037 and 1044

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

LCM of:
and

Least Common Multiple of 1037 and 1044

LCM of 1037 and 1044 is 1082628

Least common multiple can be found by multiplying the highest exponent prime factors of 1037 and 1044. First we will calculate the prime factors of 1037 and 1044.

Prime Factorization of 1037


17 1037
61 61
1

Prime factors of 1037 are 17,61. Prime factorization of 1037 in exponential form is:

1037 = 171×611

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 1037 and 1044.

LCM(1037,1044) = 22×32×171×291×611
LCM(1037,1044) = 1082628

Factors of 1037

List of positive integer factors of 1037 that divides 1037 without a remainder.

1, 17, 61, 1037

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 1037 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 1037 and 1044, than apply into the LCM equation.

GCF(1037,1044) = 1
LCM(1037,1044) = ( 1037 × 1044) / 1
LCM(1037,1044) = 1082628 / 1
LCM(1037,1044) = 1082628

Properties of LCM 1037 and 1044

(i) The LCM of 1044 and 1037 is associative

LCM of 1037 and 1044 = LCM of 1044 and 1037

Related Least Common Multiples of 1037

Related Least Common Multiples of 1044

Frequently Asked Questions on LCM of 1037 and 1044

1. What is the LCM of 1037 and 1044?

Answer: LCM of 1037 and 1044 is 1082628.

2. What are the Factors of 1037?

Answer: Factors of 1037 are 1, 17, 61, 1037. There are 4 integers that are factors of 1037. The greatest factor of 1037 is 1037.

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 1037 and 1044?

Answer:

Least Common Multiple of 1037 and 1044 = 1082628

Step 1: Find the prime factorization of 1037

1037 = 17 x 61

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 = 1082628 = 2 x 2 x 3 x 3 x 17 x 29 x 61

Step 4: Therefore, the least common multiple of 1037 and 1044 is 1082628.