Least Common Multiple of 439 and 444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 439 and 444 the smallest integer that is 194916 that is divisible by both numbers.

Least Common Multiple (LCM) of 439 and 444 is 194916.

LCM(439,444) = 194916

LCM of 439 and 444

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

LCM of:
and

Least Common Multiple of 439 and 444

LCM of 439 and 444 is 194916

Least common multiple can be found by multiplying the highest exponent prime factors of 439 and 444. First we will calculate the prime factors of 439 and 444.

Prime Factorization of 439


439 439
1

Prime factors of 439 are 439. Prime factorization of 439 in exponential form is:

439 = 4391

Prime Factorization of 444


2 444
2 222
3 111
37 37
1

Prime factors of 444 are 2, 3,37. Prime factorization of 444 in exponential form is:

444 = 22×31×371

Now multiplying the highest exponent prime factors to calculate the LCM of 439 and 444.

LCM(439,444) = 22×31×371×4391
LCM(439,444) = 194916

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1, 439

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Least Common Multiple of 439 and 444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 439 and 444, than apply into the LCM equation.

GCF(439,444) = 1
LCM(439,444) = ( 439 × 444) / 1
LCM(439,444) = 194916 / 1
LCM(439,444) = 194916

Properties of LCM 439 and 444

(i) The LCM of 444 and 439 is associative

LCM of 439 and 444 = LCM of 444 and 439

Related Least Common Multiples of 439

Related Least Common Multiples of 444

Frequently Asked Questions on LCM of 439 and 444

1. What is the LCM of 439 and 444?

Answer: LCM of 439 and 444 is 194916.

2. What are the Factors of 439?

Answer: Factors of 439 are 1, 439. There are 2 integers that are factors of 439. The greatest factor of 439 is 439.

3. What are the Factors of 444?

Answer: Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444. There are 12 integers that are factors of 444. The greatest factor of 444 is 444.

4. How to Find the LCM of 439 and 444?

Answer:

Least Common Multiple of 439 and 444 = 194916

Step 1: Find the prime factorization of 439

439 = 439

Step 2: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

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

LCM = 194916 = 2 x 2 x 3 x 37 x 439

Step 4: Therefore, the least common multiple of 439 and 444 is 194916.