Least Common Multiple of 4441 and 4443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 4441 and 4443 the smallest integer that is 19731363 that is divisible by both numbers.

Least Common Multiple (LCM) of 4441 and 4443 is 19731363.

LCM(4441,4443) = 19731363

LCM of 4441 and 4443

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

LCM of:
and

Least Common Multiple of 4441 and 4443

LCM of 4441 and 4443 is 19731363

Least common multiple can be found by multiplying the highest exponent prime factors of 4441 and 4443. First we will calculate the prime factors of 4441 and 4443.

Prime Factorization of 4441


4441 4441
1

Prime factors of 4441 are 4441. Prime factorization of 4441 in exponential form is:

4441 = 44411

Prime Factorization of 4443


3 4443
1481 1481
1

Prime factors of 4443 are 3,1481. Prime factorization of 4443 in exponential form is:

4443 = 31×14811

Now multiplying the highest exponent prime factors to calculate the LCM of 4441 and 4443.

LCM(4441,4443) = 31×14811×44411
LCM(4441,4443) = 19731363

Factors of 4441

List of positive integer factors of 4441 that divides 4441 without a remainder.

1, 4441

Factors of 4443

List of positive integer factors of 4443 that divides 4443 without a remainder.

1, 3, 1481, 4443

Least Common Multiple of 4441 and 4443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4441 and 4443, than apply into the LCM equation.

GCF(4441,4443) = 1
LCM(4441,4443) = ( 4441 × 4443) / 1
LCM(4441,4443) = 19731363 / 1
LCM(4441,4443) = 19731363

Properties of LCM 4441 and 4443

(i) The LCM of 4443 and 4441 is associative

LCM of 4441 and 4443 = LCM of 4443 and 4441

Frequently Asked Questions on LCM of 4441 and 4443

1. What is the LCM of 4441 and 4443?

Answer: LCM of 4441 and 4443 is 19731363.

2. What are the Factors of 4441?

Answer: Factors of 4441 are 1, 4441. There are 2 integers that are factors of 4441. The greatest factor of 4441 is 4441.

3. What are the Factors of 4443?

Answer: Factors of 4443 are 1, 3, 1481, 4443. There are 4 integers that are factors of 4443. The greatest factor of 4443 is 4443.

4. How to Find the LCM of 4441 and 4443?

Answer:

Least Common Multiple of 4441 and 4443 = 19731363

Step 1: Find the prime factorization of 4441

4441 = 4441

Step 2: Find the prime factorization of 4443

4443 = 3 x 1481

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

LCM = 19731363 = 3 x 1481 x 4441

Step 4: Therefore, the least common multiple of 4441 and 4443 is 19731363.