Least Common Multiple of 444 and 448

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 448 the smallest integer that is 49728 that is divisible by both numbers.

Least Common Multiple (LCM) of 444 and 448 is 49728.

LCM(444,448) = 49728

LCM of 444 and 448

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

LCM of:
and

Least Common Multiple of 444 and 448

LCM of 444 and 448 is 49728

Least common multiple can be found by multiplying the highest exponent prime factors of 444 and 448. First we will calculate the prime factors of 444 and 448.

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 448


2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 448 are 2,7. Prime factorization of 448 in exponential form is:

448 = 26×71

Now multiplying the highest exponent prime factors to calculate the LCM of 444 and 448.

LCM(444,448) = 26×31×71×371
LCM(444,448) = 49728

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 448

List of positive integer factors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Least Common Multiple of 444 and 448 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 448, than apply into the LCM equation.

GCF(444,448) = 4
LCM(444,448) = ( 444 × 448) / 4
LCM(444,448) = 198912 / 4
LCM(444,448) = 49728

Properties of LCM 444 and 448

(i) The LCM of 448 and 444 is associative

LCM of 444 and 448 = LCM of 448 and 444

Related Least Common Multiples of 444

Related Least Common Multiples of 448

Frequently Asked Questions on LCM of 444 and 448

1. What is the LCM of 444 and 448?

Answer: LCM of 444 and 448 is 49728.

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 448?

Answer: Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448. There are 14 integers that are factors of 448. The greatest factor of 448 is 448.

4. How to Find the LCM of 444 and 448?

Answer:

Least Common Multiple of 444 and 448 = 49728

Step 1: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

Step 2: Find the prime factorization of 448

448 = 2 x 2 x 2 x 2 x 2 x 2 x 7

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

LCM = 49728 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 37

Step 4: Therefore, the least common multiple of 444 and 448 is 49728.