Least Common Multiple of 1440 and 1443

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 1443 the smallest integer that is 692640 that is divisible by both numbers.

Least Common Multiple (LCM) of 1440 and 1443 is 692640.

LCM(1440,1443) = 692640

LCM of 1440 and 1443

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

LCM of:
and

Least Common Multiple of 1440 and 1443

LCM of 1440 and 1443 is 692640

Least common multiple can be found by multiplying the highest exponent prime factors of 1440 and 1443. First we will calculate the prime factors of 1440 and 1443.

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 1443


3 1443
13 481
37 37
1

Prime factors of 1443 are 3, 13,37. Prime factorization of 1443 in exponential form is:

1443 = 31×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1440 and 1443.

LCM(1440,1443) = 25×32×51×131×371
LCM(1440,1443) = 692640

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 1443

List of positive integer factors of 1443 that divides 1443 without a remainder.

1, 3, 13, 37, 39, 111, 481, 1443

Least Common Multiple of 1440 and 1443 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 1443, than apply into the LCM equation.

GCF(1440,1443) = 3
LCM(1440,1443) = ( 1440 × 1443) / 3
LCM(1440,1443) = 2077920 / 3
LCM(1440,1443) = 692640

Properties of LCM 1440 and 1443

(i) The LCM of 1443 and 1440 is associative

LCM of 1440 and 1443 = LCM of 1443 and 1440

Related Least Common Multiples of 1440

Related Least Common Multiples of 1443

Frequently Asked Questions on LCM of 1440 and 1443

1. What is the LCM of 1440 and 1443?

Answer: LCM of 1440 and 1443 is 692640.

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 1443?

Answer: Factors of 1443 are 1, 3, 13, 37, 39, 111, 481, 1443. There are 8 integers that are factors of 1443. The greatest factor of 1443 is 1443.

4. How to Find the LCM of 1440 and 1443?

Answer:

Least Common Multiple of 1440 and 1443 = 692640

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 1443

1443 = 3 x 13 x 37

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

LCM = 692640 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 37

Step 4: Therefore, the least common multiple of 1440 and 1443 is 692640.