Least Common Multiple of 1443 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 1443 and 1445 the smallest integer that is 2085135 that is divisible by both numbers.

Least Common Multiple (LCM) of 1443 and 1445 is 2085135.

LCM(1443,1445) = 2085135

LCM of 1443 and 1445

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

LCM of:
and

Least Common Multiple of 1443 and 1445

LCM of 1443 and 1445 is 2085135

Least common multiple can be found by multiplying the highest exponent prime factors of 1443 and 1445. First we will calculate the prime factors of 1443 and 1445.

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 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 1443 and 1445.

LCM(1443,1445) = 31×51×131×172×371
LCM(1443,1445) = 2085135

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 1445

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

1, 5, 17, 85, 289, 1445

Least Common Multiple of 1443 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 1443 and 1445, than apply into the LCM equation.

GCF(1443,1445) = 1
LCM(1443,1445) = ( 1443 × 1445) / 1
LCM(1443,1445) = 2085135 / 1
LCM(1443,1445) = 2085135

Properties of LCM 1443 and 1445

(i) The LCM of 1445 and 1443 is associative

LCM of 1443 and 1445 = LCM of 1445 and 1443

Related Least Common Multiples of 1443

Related Least Common Multiples of 1445

Frequently Asked Questions on LCM of 1443 and 1445

1. What is the LCM of 1443 and 1445?

Answer: LCM of 1443 and 1445 is 2085135.

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 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 1443 and 1445?

Answer:

Least Common Multiple of 1443 and 1445 = 2085135

Step 1: Find the prime factorization of 1443

1443 = 3 x 13 x 37

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 = 2085135 = 3 x 5 x 13 x 17 x 17 x 37

Step 4: Therefore, the least common multiple of 1443 and 1445 is 2085135.