Least Common Multiple of 1440 and 1444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1440 and 1444 the smallest integer that is 519840 that is divisible by both numbers.

Least Common Multiple (LCM) of 1440 and 1444 is 519840.

LCM(1440,1444) = 519840

LCM of 1440 and 1444

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

LCM of:
and

Least Common Multiple of 1440 and 1444

LCM of 1440 and 1444 is 519840

Least common multiple can be found by multiplying the highest exponent prime factors of 1440 and 1444. First we will calculate the prime factors of 1440 and 1444.

Prime Factorization of 1440


2 1440
2 720
2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 1440 are 2, 3,5. Prime factorization of 1440 in exponential form is:

1440 = 25×32×51

Prime Factorization of 1444


2 1444
2 722
19 361
19 19
1

Prime factors of 1444 are 2,19. Prime factorization of 1444 in exponential form is:

1444 = 22×192

Now multiplying the highest exponent prime factors to calculate the LCM of 1440 and 1444.

LCM(1440,1444) = 25×32×51×192
LCM(1440,1444) = 519840

Factors of 1440

List of positive integer factors of 1440 that divides 1440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440

Factors of 1444

List of positive integer factors of 1444 that divides 1444 without a remainder.

1, 2, 4, 19, 38, 76, 361, 722, 1444

Least Common Multiple of 1440 and 1444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1440 and 1444, than apply into the LCM equation.

GCF(1440,1444) = 4
LCM(1440,1444) = ( 1440 × 1444) / 4
LCM(1440,1444) = 2079360 / 4
LCM(1440,1444) = 519840

Properties of LCM 1440 and 1444

(i) The LCM of 1444 and 1440 is associative

LCM of 1440 and 1444 = LCM of 1444 and 1440

Related Least Common Multiples of 1440

Related Least Common Multiples of 1444

Frequently Asked Questions on LCM of 1440 and 1444

1. What is the LCM of 1440 and 1444?

Answer: LCM of 1440 and 1444 is 519840.

2. What are the Factors of 1440?

Answer: Factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440. There are 36 integers that are factors of 1440. The greatest factor of 1440 is 1440.

3. What are the Factors of 1444?

Answer: Factors of 1444 are 1, 2, 4, 19, 38, 76, 361, 722, 1444. There are 9 integers that are factors of 1444. The greatest factor of 1444 is 1444.

4. How to Find the LCM of 1440 and 1444?

Answer:

Least Common Multiple of 1440 and 1444 = 519840

Step 1: Find the prime factorization of 1440

1440 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 1444

1444 = 2 x 2 x 19 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 = 519840 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 x 19

Step 4: Therefore, the least common multiple of 1440 and 1444 is 519840.