Least Common Multiple of 4433 and 4441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4433 and 4441 the smallest integer that is 19686953 that is divisible by both numbers.

Least Common Multiple (LCM) of 4433 and 4441 is 19686953.

LCM(4433,4441) = 19686953

LCM of 4433 and 4441

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

LCM of:
and

Least Common Multiple of 4433 and 4441

LCM of 4433 and 4441 is 19686953

Least common multiple can be found by multiplying the highest exponent prime factors of 4433 and 4441. First we will calculate the prime factors of 4433 and 4441.

Prime Factorization of 4433


11 4433
13 403
31 31
1

Prime factors of 4433 are 11, 13,31. Prime factorization of 4433 in exponential form is:

4433 = 111×131×311

Prime Factorization of 4441


4441 4441
1

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

4441 = 44411

Now multiplying the highest exponent prime factors to calculate the LCM of 4433 and 4441.

LCM(4433,4441) = 111×131×311×44411
LCM(4433,4441) = 19686953

Factors of 4433

List of positive integer factors of 4433 that divides 4433 without a remainder.

1, 11, 13, 31, 143, 341, 403, 4433

Factors of 4441

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

1, 4441

Least Common Multiple of 4433 and 4441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4433 and 4441, than apply into the LCM equation.

GCF(4433,4441) = 1
LCM(4433,4441) = ( 4433 × 4441) / 1
LCM(4433,4441) = 19686953 / 1
LCM(4433,4441) = 19686953

Properties of LCM 4433 and 4441

(i) The LCM of 4441 and 4433 is associative

LCM of 4433 and 4441 = LCM of 4441 and 4433

Related Least Common Multiples of 4433

Related Least Common Multiples of 4441

Frequently Asked Questions on LCM of 4433 and 4441

1. What is the LCM of 4433 and 4441?

Answer: LCM of 4433 and 4441 is 19686953.

2. What are the Factors of 4433?

Answer: Factors of 4433 are 1, 11, 13, 31, 143, 341, 403, 4433. There are 8 integers that are factors of 4433. The greatest factor of 4433 is 4433.

3. 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.

4. How to Find the LCM of 4433 and 4441?

Answer:

Least Common Multiple of 4433 and 4441 = 19686953

Step 1: Find the prime factorization of 4433

4433 = 11 x 13 x 31

Step 2: Find the prime factorization of 4441

4441 = 4441

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

LCM = 19686953 = 11 x 13 x 31 x 4441

Step 4: Therefore, the least common multiple of 4433 and 4441 is 19686953.