Least Common Multiple of 4437 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 4437 and 4443 the smallest integer that is 6571197 that is divisible by both numbers.

Least Common Multiple (LCM) of 4437 and 4443 is 6571197.

LCM(4437,4443) = 6571197

LCM of 4437 and 4443

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

LCM of:
and

Least Common Multiple of 4437 and 4443

LCM of 4437 and 4443 is 6571197

Least common multiple can be found by multiplying the highest exponent prime factors of 4437 and 4443. First we will calculate the prime factors of 4437 and 4443.

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 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 4437 and 4443.

LCM(4437,4443) = 32×171×291×14811
LCM(4437,4443) = 6571197

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 4443

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

1, 3, 1481, 4443

Least Common Multiple of 4437 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 4437 and 4443, than apply into the LCM equation.

GCF(4437,4443) = 3
LCM(4437,4443) = ( 4437 × 4443) / 3
LCM(4437,4443) = 19713591 / 3
LCM(4437,4443) = 6571197

Properties of LCM 4437 and 4443

(i) The LCM of 4443 and 4437 is associative

LCM of 4437 and 4443 = LCM of 4443 and 4437

Related Least Common Multiples of 4437

Related Least Common Multiples of 4443

Frequently Asked Questions on LCM of 4437 and 4443

1. What is the LCM of 4437 and 4443?

Answer: LCM of 4437 and 4443 is 6571197.

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 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 4437 and 4443?

Answer:

Least Common Multiple of 4437 and 4443 = 6571197

Step 1: Find the prime factorization of 4437

4437 = 3 x 3 x 17 x 29

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 = 6571197 = 3 x 3 x 17 x 29 x 1481

Step 4: Therefore, the least common multiple of 4437 and 4443 is 6571197.