Least Common Multiple of 4437 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 4437 and 4441 the smallest integer that is 19704717 that is divisible by both numbers.

Least Common Multiple (LCM) of 4437 and 4441 is 19704717.

LCM(4437,4441) = 19704717

LCM of 4437 and 4441

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

LCM of:
and

Least Common Multiple of 4437 and 4441

LCM of 4437 and 4441 is 19704717

Least common multiple can be found by multiplying the highest exponent prime factors of 4437 and 4441. First we will calculate the prime factors of 4437 and 4441.

Prime Factorization of 4437


3 4437
3 1479
17 493
29 29
1

Prime factors of 4437 are 3, 17,29. Prime factorization of 4437 in exponential form is:

4437 = 32×171×291

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 4437 and 4441.

LCM(4437,4441) = 32×171×291×44411
LCM(4437,4441) = 19704717

Factors of 4437

List of positive integer factors of 4437 that divides 4437 without a remainder.

1, 3, 9, 17, 29, 51, 87, 153, 261, 493, 1479, 4437

Factors of 4441

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

1, 4441

Least Common Multiple of 4437 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 4437 and 4441, than apply into the LCM equation.

GCF(4437,4441) = 1
LCM(4437,4441) = ( 4437 × 4441) / 1
LCM(4437,4441) = 19704717 / 1
LCM(4437,4441) = 19704717

Properties of LCM 4437 and 4441

(i) The LCM of 4441 and 4437 is associative

LCM of 4437 and 4441 = LCM of 4441 and 4437

Related Least Common Multiples of 4437

Related Least Common Multiples of 4441

Frequently Asked Questions on LCM of 4437 and 4441

1. What is the LCM of 4437 and 4441?

Answer: LCM of 4437 and 4441 is 19704717.

2. What are the Factors of 4437?

Answer: Factors of 4437 are 1, 3, 9, 17, 29, 51, 87, 153, 261, 493, 1479, 4437. There are 12 integers that are factors of 4437. The greatest factor of 4437 is 4437.

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 4437 and 4441?

Answer:

Least Common Multiple of 4437 and 4441 = 19704717

Step 1: Find the prime factorization of 4437

4437 = 3 x 3 x 17 x 29

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 = 19704717 = 3 x 3 x 17 x 29 x 4441

Step 4: Therefore, the least common multiple of 4437 and 4441 is 19704717.