Least Common Multiple of 9044 and 9046

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 9046 the smallest integer that is 40906012 that is divisible by both numbers.

Least Common Multiple (LCM) of 9044 and 9046 is 40906012.

LCM(9044,9046) = 40906012

LCM of 9044 and 9046

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

LCM of:
and

Least Common Multiple of 9044 and 9046

LCM of 9044 and 9046 is 40906012

Least common multiple can be found by multiplying the highest exponent prime factors of 9044 and 9046. First we will calculate the prime factors of 9044 and 9046.

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 9046


2 9046
4523 4523
1

Prime factors of 9046 are 2,4523. Prime factorization of 9046 in exponential form is:

9046 = 21×45231

Now multiplying the highest exponent prime factors to calculate the LCM of 9044 and 9046.

LCM(9044,9046) = 22×71×171×191×45231
LCM(9044,9046) = 40906012

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 9046

List of positive integer factors of 9046 that divides 9046 without a remainder.

1, 2, 4523, 9046

Least Common Multiple of 9044 and 9046 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 9046, than apply into the LCM equation.

GCF(9044,9046) = 2
LCM(9044,9046) = ( 9044 × 9046) / 2
LCM(9044,9046) = 81812024 / 2
LCM(9044,9046) = 40906012

Properties of LCM 9044 and 9046

(i) The LCM of 9046 and 9044 is associative

LCM of 9044 and 9046 = LCM of 9046 and 9044

Related Least Common Multiples of 9044

Related Least Common Multiples of 9046

Frequently Asked Questions on LCM of 9044 and 9046

1. What is the LCM of 9044 and 9046?

Answer: LCM of 9044 and 9046 is 40906012.

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 9046?

Answer: Factors of 9046 are 1, 2, 4523, 9046. There are 4 integers that are factors of 9046. The greatest factor of 9046 is 9046.

4. How to Find the LCM of 9044 and 9046?

Answer:

Least Common Multiple of 9044 and 9046 = 40906012

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 9046

9046 = 2 x 4523

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

LCM = 40906012 = 2 x 2 x 7 x 17 x 19 x 4523

Step 4: Therefore, the least common multiple of 9044 and 9046 is 40906012.