Least Common Multiple of 4431 and 4437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4431 and 4437 the smallest integer that is 6553449 that is divisible by both numbers.

Least Common Multiple (LCM) of 4431 and 4437 is 6553449.

LCM(4431,4437) = 6553449

LCM of 4431 and 4437

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

LCM of:
and

Least Common Multiple of 4431 and 4437

LCM of 4431 and 4437 is 6553449

Least common multiple can be found by multiplying the highest exponent prime factors of 4431 and 4437. First we will calculate the prime factors of 4431 and 4437.

Prime Factorization of 4431


3 4431
7 1477
211 211
1

Prime factors of 4431 are 3, 7,211. Prime factorization of 4431 in exponential form is:

4431 = 31×71×2111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4431 and 4437.

LCM(4431,4437) = 32×71×171×291×2111
LCM(4431,4437) = 6553449

Factors of 4431

List of positive integer factors of 4431 that divides 4431 without a remainder.

1, 3, 7, 21, 211, 633, 1477, 4431

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

Least Common Multiple of 4431 and 4437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4431 and 4437, than apply into the LCM equation.

GCF(4431,4437) = 3
LCM(4431,4437) = ( 4431 × 4437) / 3
LCM(4431,4437) = 19660347 / 3
LCM(4431,4437) = 6553449

Properties of LCM 4431 and 4437

(i) The LCM of 4437 and 4431 is associative

LCM of 4431 and 4437 = LCM of 4437 and 4431

Related Least Common Multiples of 4431

Related Least Common Multiples of 4437

Frequently Asked Questions on LCM of 4431 and 4437

1. What is the LCM of 4431 and 4437?

Answer: LCM of 4431 and 4437 is 6553449.

2. What are the Factors of 4431?

Answer: Factors of 4431 are 1, 3, 7, 21, 211, 633, 1477, 4431. There are 8 integers that are factors of 4431. The greatest factor of 4431 is 4431.

3. 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.

4. How to Find the LCM of 4431 and 4437?

Answer:

Least Common Multiple of 4431 and 4437 = 6553449

Step 1: Find the prime factorization of 4431

4431 = 3 x 7 x 211

Step 2: Find the prime factorization of 4437

4437 = 3 x 3 x 17 x 29

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

LCM = 6553449 = 3 x 3 x 7 x 17 x 29 x 211

Step 4: Therefore, the least common multiple of 4431 and 4437 is 6553449.