Least Common Multiple of 9036 and 9044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9036 and 9044 the smallest integer that is 20430396 that is divisible by both numbers.

Least Common Multiple (LCM) of 9036 and 9044 is 20430396.

LCM(9036,9044) = 20430396

LCM of 9036 and 9044

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

LCM of:
and

Least Common Multiple of 9036 and 9044

LCM of 9036 and 9044 is 20430396

Least common multiple can be found by multiplying the highest exponent prime factors of 9036 and 9044. First we will calculate the prime factors of 9036 and 9044.

Prime Factorization of 9036


2 9036
2 4518
3 2259
3 753
251 251
1

Prime factors of 9036 are 2, 3,251. Prime factorization of 9036 in exponential form is:

9036 = 22×32×2511

Prime Factorization of 9044


2 9044
2 4522
7 2261
17 323
19 19
1

Prime factors of 9044 are 2, 7, 17,19. Prime factorization of 9044 in exponential form is:

9044 = 22×71×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 9036 and 9044.

LCM(9036,9044) = 22×32×71×171×191×2511
LCM(9036,9044) = 20430396

Factors of 9036

List of positive integer factors of 9036 that divides 9036 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036

Factors of 9044

List of positive integer factors of 9044 that divides 9044 without a remainder.

1, 2, 4, 7, 14, 17, 19, 28, 34, 38, 68, 76, 119, 133, 238, 266, 323, 476, 532, 646, 1292, 2261, 4522, 9044

Least Common Multiple of 9036 and 9044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9036 and 9044, than apply into the LCM equation.

GCF(9036,9044) = 4
LCM(9036,9044) = ( 9036 × 9044) / 4
LCM(9036,9044) = 81721584 / 4
LCM(9036,9044) = 20430396

Properties of LCM 9036 and 9044

(i) The LCM of 9044 and 9036 is associative

LCM of 9036 and 9044 = LCM of 9044 and 9036

Related Least Common Multiples of 9036

Related Least Common Multiples of 9044

Frequently Asked Questions on LCM of 9036 and 9044

1. What is the LCM of 9036 and 9044?

Answer: LCM of 9036 and 9044 is 20430396.

2. What are the Factors of 9036?

Answer: Factors of 9036 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036. There are 18 integers that are factors of 9036. The greatest factor of 9036 is 9036.

3. What are the Factors of 9044?

Answer: Factors of 9044 are 1, 2, 4, 7, 14, 17, 19, 28, 34, 38, 68, 76, 119, 133, 238, 266, 323, 476, 532, 646, 1292, 2261, 4522, 9044. There are 24 integers that are factors of 9044. The greatest factor of 9044 is 9044.

4. How to Find the LCM of 9036 and 9044?

Answer:

Least Common Multiple of 9036 and 9044 = 20430396

Step 1: Find the prime factorization of 9036

9036 = 2 x 2 x 3 x 3 x 251

Step 2: Find the prime factorization of 9044

9044 = 2 x 2 x 7 x 17 x 19

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

LCM = 20430396 = 2 x 2 x 3 x 3 x 7 x 17 x 19 x 251

Step 4: Therefore, the least common multiple of 9036 and 9044 is 20430396.