Least Common Multiple of 1443 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 1443 and 1444 the smallest integer that is 2083692 that is divisible by both numbers.

Least Common Multiple (LCM) of 1443 and 1444 is 2083692.

LCM(1443,1444) = 2083692

LCM of 1443 and 1444

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

LCM of:
and

Least Common Multiple of 1443 and 1444

LCM of 1443 and 1444 is 2083692

Least common multiple can be found by multiplying the highest exponent prime factors of 1443 and 1444. First we will calculate the prime factors of 1443 and 1444.

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

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 1443 and 1444.

LCM(1443,1444) = 22×31×131×192×371
LCM(1443,1444) = 2083692

Factors of 1443

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

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

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 1443 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 1443 and 1444, than apply into the LCM equation.

GCF(1443,1444) = 1
LCM(1443,1444) = ( 1443 × 1444) / 1
LCM(1443,1444) = 2083692 / 1
LCM(1443,1444) = 2083692

Properties of LCM 1443 and 1444

(i) The LCM of 1444 and 1443 is associative

LCM of 1443 and 1444 = LCM of 1444 and 1443

Related Least Common Multiples of 1443

Related Least Common Multiples of 1444

Frequently Asked Questions on LCM of 1443 and 1444

1. What is the LCM of 1443 and 1444?

Answer: LCM of 1443 and 1444 is 2083692.

2. 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.

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 1443 and 1444?

Answer:

Least Common Multiple of 1443 and 1444 = 2083692

Step 1: Find the prime factorization of 1443

1443 = 3 x 13 x 37

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 = 2083692 = 2 x 2 x 3 x 13 x 19 x 19 x 37

Step 4: Therefore, the least common multiple of 1443 and 1444 is 2083692.