Least Common Multiple of 1044 and 1045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1044 and 1045 the smallest integer that is 1090980 that is divisible by both numbers.

Least Common Multiple (LCM) of 1044 and 1045 is 1090980.

LCM(1044,1045) = 1090980

LCM of 1044 and 1045

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

LCM of:
and

Least Common Multiple of 1044 and 1045

LCM of 1044 and 1045 is 1090980

Least common multiple can be found by multiplying the highest exponent prime factors of 1044 and 1045. First we will calculate the prime factors of 1044 and 1045.

Prime Factorization of 1044


2 1044
2 522
3 261
3 87
29 29
1

Prime factors of 1044 are 2, 3,29. Prime factorization of 1044 in exponential form is:

1044 = 22×32×291

Prime Factorization of 1045


5 1045
11 209
19 19
1

Prime factors of 1045 are 5, 11,19. Prime factorization of 1045 in exponential form is:

1045 = 51×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1044 and 1045.

LCM(1044,1045) = 22×32×51×111×191×291
LCM(1044,1045) = 1090980

Factors of 1044

List of positive integer factors of 1044 that divides 1044 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044

Factors of 1045

List of positive integer factors of 1045 that divides 1045 without a remainder.

1, 5, 11, 19, 55, 95, 209, 1045

Least Common Multiple of 1044 and 1045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1044 and 1045, than apply into the LCM equation.

GCF(1044,1045) = 1
LCM(1044,1045) = ( 1044 × 1045) / 1
LCM(1044,1045) = 1090980 / 1
LCM(1044,1045) = 1090980

Properties of LCM 1044 and 1045

(i) The LCM of 1045 and 1044 is associative

LCM of 1044 and 1045 = LCM of 1045 and 1044

Related Least Common Multiples of 1044

Related Least Common Multiples of 1045

Frequently Asked Questions on LCM of 1044 and 1045

1. What is the LCM of 1044 and 1045?

Answer: LCM of 1044 and 1045 is 1090980.

2. What are the Factors of 1044?

Answer: Factors of 1044 are 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044. There are 18 integers that are factors of 1044. The greatest factor of 1044 is 1044.

3. What are the Factors of 1045?

Answer: Factors of 1045 are 1, 5, 11, 19, 55, 95, 209, 1045. There are 8 integers that are factors of 1045. The greatest factor of 1045 is 1045.

4. How to Find the LCM of 1044 and 1045?

Answer:

Least Common Multiple of 1044 and 1045 = 1090980

Step 1: Find the prime factorization of 1044

1044 = 2 x 2 x 3 x 3 x 29

Step 2: Find the prime factorization of 1045

1045 = 5 x 11 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 = 1090980 = 2 x 2 x 3 x 3 x 5 x 11 x 19 x 29

Step 4: Therefore, the least common multiple of 1044 and 1045 is 1090980.