Least Common Multiple of 9044 and 9045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9044 and 9045 the smallest integer that is 81802980 that is divisible by both numbers.

Least Common Multiple (LCM) of 9044 and 9045 is 81802980.

LCM(9044,9045) = 81802980

LCM of 9044 and 9045

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

LCM of:
and

Least Common Multiple of 9044 and 9045

LCM of 9044 and 9045 is 81802980

Least common multiple can be found by multiplying the highest exponent prime factors of 9044 and 9045. First we will calculate the prime factors of 9044 and 9045.

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

Prime Factorization of 9045


3 9045
3 3015
3 1005
5 335
67 67
1

Prime factors of 9045 are 3, 5,67. Prime factorization of 9045 in exponential form is:

9045 = 33×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 9044 and 9045.

LCM(9044,9045) = 22×33×51×71×171×191×671
LCM(9044,9045) = 81802980

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

Factors of 9045

List of positive integer factors of 9045 that divides 9045 without a remainder.

1, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015, 9045

Least Common Multiple of 9044 and 9045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9044 and 9045, than apply into the LCM equation.

GCF(9044,9045) = 1
LCM(9044,9045) = ( 9044 × 9045) / 1
LCM(9044,9045) = 81802980 / 1
LCM(9044,9045) = 81802980

Properties of LCM 9044 and 9045

(i) The LCM of 9045 and 9044 is associative

LCM of 9044 and 9045 = LCM of 9045 and 9044

Related Least Common Multiples of 9044

Related Least Common Multiples of 9045

Frequently Asked Questions on LCM of 9044 and 9045

1. What is the LCM of 9044 and 9045?

Answer: LCM of 9044 and 9045 is 81802980.

2. 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.

3. What are the Factors of 9045?

Answer: Factors of 9045 are 1, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015, 9045. There are 16 integers that are factors of 9045. The greatest factor of 9045 is 9045.

4. How to Find the LCM of 9044 and 9045?

Answer:

Least Common Multiple of 9044 and 9045 = 81802980

Step 1: Find the prime factorization of 9044

9044 = 2 x 2 x 7 x 17 x 19

Step 2: Find the prime factorization of 9045

9045 = 3 x 3 x 3 x 5 x 67

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

LCM = 81802980 = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 17 x 19 x 67

Step 4: Therefore, the least common multiple of 9044 and 9045 is 81802980.