Least Common Multiple of 1444 and 1445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1444 and 1445 the smallest integer that is 2086580 that is divisible by both numbers.

Least Common Multiple (LCM) of 1444 and 1445 is 2086580.

LCM(1444,1445) = 2086580

LCM of 1444 and 1445

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

LCM of:
and

Least Common Multiple of 1444 and 1445

LCM of 1444 and 1445 is 2086580

Least common multiple can be found by multiplying the highest exponent prime factors of 1444 and 1445. First we will calculate the prime factors of 1444 and 1445.

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

Prime Factorization of 1445


5 1445
17 289
17 17
1

Prime factors of 1445 are 5,17. Prime factorization of 1445 in exponential form is:

1445 = 51×172

Now multiplying the highest exponent prime factors to calculate the LCM of 1444 and 1445.

LCM(1444,1445) = 22×51×172×192
LCM(1444,1445) = 2086580

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

Factors of 1445

List of positive integer factors of 1445 that divides 1445 without a remainder.

1, 5, 17, 85, 289, 1445

Least Common Multiple of 1444 and 1445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1444 and 1445, than apply into the LCM equation.

GCF(1444,1445) = 1
LCM(1444,1445) = ( 1444 × 1445) / 1
LCM(1444,1445) = 2086580 / 1
LCM(1444,1445) = 2086580

Properties of LCM 1444 and 1445

(i) The LCM of 1445 and 1444 is associative

LCM of 1444 and 1445 = LCM of 1445 and 1444

Related Least Common Multiples of 1444

Related Least Common Multiples of 1445

Frequently Asked Questions on LCM of 1444 and 1445

1. What is the LCM of 1444 and 1445?

Answer: LCM of 1444 and 1445 is 2086580.

2. 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.

3. What are the Factors of 1445?

Answer: Factors of 1445 are 1, 5, 17, 85, 289, 1445. There are 6 integers that are factors of 1445. The greatest factor of 1445 is 1445.

4. How to Find the LCM of 1444 and 1445?

Answer:

Least Common Multiple of 1444 and 1445 = 2086580

Step 1: Find the prime factorization of 1444

1444 = 2 x 2 x 19 x 19

Step 2: Find the prime factorization of 1445

1445 = 5 x 17 x 17

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

LCM = 2086580 = 2 x 2 x 5 x 17 x 17 x 19 x 19

Step 4: Therefore, the least common multiple of 1444 and 1445 is 2086580.