Least Common Multiple of 9044 and 9047

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 9047 the smallest integer that is 81821068 that is divisible by both numbers.

Least Common Multiple (LCM) of 9044 and 9047 is 81821068.

LCM(9044,9047) = 81821068

LCM of 9044 and 9047

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

LCM of:
and

Least Common Multiple of 9044 and 9047

LCM of 9044 and 9047 is 81821068

Least common multiple can be found by multiplying the highest exponent prime factors of 9044 and 9047. First we will calculate the prime factors of 9044 and 9047.

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 9047


83 9047
109 109
1

Prime factors of 9047 are 83,109. Prime factorization of 9047 in exponential form is:

9047 = 831×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9044 and 9047.

LCM(9044,9047) = 22×71×171×191×831×1091
LCM(9044,9047) = 81821068

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 9047

List of positive integer factors of 9047 that divides 9047 without a remainder.

1, 83, 109, 9047

Least Common Multiple of 9044 and 9047 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 9047, than apply into the LCM equation.

GCF(9044,9047) = 1
LCM(9044,9047) = ( 9044 × 9047) / 1
LCM(9044,9047) = 81821068 / 1
LCM(9044,9047) = 81821068

Properties of LCM 9044 and 9047

(i) The LCM of 9047 and 9044 is associative

LCM of 9044 and 9047 = LCM of 9047 and 9044

Related Least Common Multiples of 9044

Related Least Common Multiples of 9047

Frequently Asked Questions on LCM of 9044 and 9047

1. What is the LCM of 9044 and 9047?

Answer: LCM of 9044 and 9047 is 81821068.

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 9047?

Answer: Factors of 9047 are 1, 83, 109, 9047. There are 4 integers that are factors of 9047. The greatest factor of 9047 is 9047.

4. How to Find the LCM of 9044 and 9047?

Answer:

Least Common Multiple of 9044 and 9047 = 81821068

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 9047

9047 = 83 x 109

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

LCM = 81821068 = 2 x 2 x 7 x 17 x 19 x 83 x 109

Step 4: Therefore, the least common multiple of 9044 and 9047 is 81821068.