Least Common Multiple of 444 and 449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 444 and 449 the smallest integer that is 199356 that is divisible by both numbers.

Least Common Multiple (LCM) of 444 and 449 is 199356.

LCM(444,449) = 199356

LCM of 444 and 449

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

LCM of:
and

Least Common Multiple of 444 and 449

LCM of 444 and 449 is 199356

Least common multiple can be found by multiplying the highest exponent prime factors of 444 and 449. First we will calculate the prime factors of 444 and 449.

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

Prime Factorization of 449


449 449
1

Prime factors of 449 are 449. Prime factorization of 449 in exponential form is:

449 = 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 444 and 449.

LCM(444,449) = 22×31×371×4491
LCM(444,449) = 199356

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

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1, 449

Least Common Multiple of 444 and 449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 444 and 449, than apply into the LCM equation.

GCF(444,449) = 1
LCM(444,449) = ( 444 × 449) / 1
LCM(444,449) = 199356 / 1
LCM(444,449) = 199356

Properties of LCM 444 and 449

(i) The LCM of 449 and 444 is associative

LCM of 444 and 449 = LCM of 449 and 444

Related Least Common Multiples of 444

Related Least Common Multiples of 449

Frequently Asked Questions on LCM of 444 and 449

1. What is the LCM of 444 and 449?

Answer: LCM of 444 and 449 is 199356.

2. 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.

3. What are the Factors of 449?

Answer: Factors of 449 are 1, 449. There are 2 integers that are factors of 449. The greatest factor of 449 is 449.

4. How to Find the LCM of 444 and 449?

Answer:

Least Common Multiple of 444 and 449 = 199356

Step 1: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

Step 2: Find the prime factorization of 449

449 = 449

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

LCM = 199356 = 2 x 2 x 3 x 37 x 449

Step 4: Therefore, the least common multiple of 444 and 449 is 199356.