Least Common Multiple of 1441 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 1441 and 1444 the smallest integer that is 2080804 that is divisible by both numbers.

Least Common Multiple (LCM) of 1441 and 1444 is 2080804.

LCM(1441,1444) = 2080804

LCM of 1441 and 1444

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

LCM of:
and

Least Common Multiple of 1441 and 1444

LCM of 1441 and 1444 is 2080804

Least common multiple can be found by multiplying the highest exponent prime factors of 1441 and 1444. First we will calculate the prime factors of 1441 and 1444.

Prime Factorization of 1441


11 1441
131 131
1

Prime factors of 1441 are 11,131. Prime factorization of 1441 in exponential form is:

1441 = 111×1311

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 1441 and 1444.

LCM(1441,1444) = 22×111×192×1311
LCM(1441,1444) = 2080804

Factors of 1441

List of positive integer factors of 1441 that divides 1441 without a remainder.

1, 11, 131, 1441

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 1441 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 1441 and 1444, than apply into the LCM equation.

GCF(1441,1444) = 1
LCM(1441,1444) = ( 1441 × 1444) / 1
LCM(1441,1444) = 2080804 / 1
LCM(1441,1444) = 2080804

Properties of LCM 1441 and 1444

(i) The LCM of 1444 and 1441 is associative

LCM of 1441 and 1444 = LCM of 1444 and 1441

Related Least Common Multiples of 1441

Related Least Common Multiples of 1444

Frequently Asked Questions on LCM of 1441 and 1444

1. What is the LCM of 1441 and 1444?

Answer: LCM of 1441 and 1444 is 2080804.

2. What are the Factors of 1441?

Answer: Factors of 1441 are 1, 11, 131, 1441. There are 4 integers that are factors of 1441. The greatest factor of 1441 is 1441.

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 1441 and 1444?

Answer:

Least Common Multiple of 1441 and 1444 = 2080804

Step 1: Find the prime factorization of 1441

1441 = 11 x 131

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 = 2080804 = 2 x 2 x 11 x 19 x 19 x 131

Step 4: Therefore, the least common multiple of 1441 and 1444 is 2080804.