Least Common Multiple of 9044 and 9051

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 9051 the smallest integer that is 11693892 that is divisible by both numbers.

Least Common Multiple (LCM) of 9044 and 9051 is 11693892.

LCM(9044,9051) = 11693892

LCM of 9044 and 9051

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

LCM of:
and

Least Common Multiple of 9044 and 9051

LCM of 9044 and 9051 is 11693892

Least common multiple can be found by multiplying the highest exponent prime factors of 9044 and 9051. First we will calculate the prime factors of 9044 and 9051.

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 9051


3 9051
7 3017
431 431
1

Prime factors of 9051 are 3, 7,431. Prime factorization of 9051 in exponential form is:

9051 = 31×71×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 9044 and 9051.

LCM(9044,9051) = 22×31×71×171×191×4311
LCM(9044,9051) = 11693892

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 9051

List of positive integer factors of 9051 that divides 9051 without a remainder.

1, 3, 7, 21, 431, 1293, 3017, 9051

Least Common Multiple of 9044 and 9051 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 9051, than apply into the LCM equation.

GCF(9044,9051) = 7
LCM(9044,9051) = ( 9044 × 9051) / 7
LCM(9044,9051) = 81857244 / 7
LCM(9044,9051) = 11693892

Properties of LCM 9044 and 9051

(i) The LCM of 9051 and 9044 is associative

LCM of 9044 and 9051 = LCM of 9051 and 9044

Related Least Common Multiples of 9044

Related Least Common Multiples of 9051

Frequently Asked Questions on LCM of 9044 and 9051

1. What is the LCM of 9044 and 9051?

Answer: LCM of 9044 and 9051 is 11693892.

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 9051?

Answer: Factors of 9051 are 1, 3, 7, 21, 431, 1293, 3017, 9051. There are 8 integers that are factors of 9051. The greatest factor of 9051 is 9051.

4. How to Find the LCM of 9044 and 9051?

Answer:

Least Common Multiple of 9044 and 9051 = 11693892

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 9051

9051 = 3 x 7 x 431

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

LCM = 11693892 = 2 x 2 x 3 x 7 x 17 x 19 x 431

Step 4: Therefore, the least common multiple of 9044 and 9051 is 11693892.