Least Common Multiple of 443 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 443 and 448 the smallest integer that is 198464 that is divisible by both numbers.

Least Common Multiple (LCM) of 443 and 448 is 198464.

LCM(443,448) = 198464

LCM of 443 and 448

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

LCM of:
and

Least Common Multiple of 443 and 448

LCM of 443 and 448 is 198464

Least common multiple can be found by multiplying the highest exponent prime factors of 443 and 448. First we will calculate the prime factors of 443 and 448.

Prime Factorization of 443


443 443
1

Prime factors of 443 are 443. Prime factorization of 443 in exponential form is:

443 = 4431

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 443 and 448.

LCM(443,448) = 26×71×4431
LCM(443,448) = 198464

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1, 443

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 443 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 443 and 448, than apply into the LCM equation.

GCF(443,448) = 1
LCM(443,448) = ( 443 × 448) / 1
LCM(443,448) = 198464 / 1
LCM(443,448) = 198464

Properties of LCM 443 and 448

(i) The LCM of 448 and 443 is associative

LCM of 443 and 448 = LCM of 448 and 443

Related Least Common Multiples of 443

Related Least Common Multiples of 448

Frequently Asked Questions on LCM of 443 and 448

1. What is the LCM of 443 and 448?

Answer: LCM of 443 and 448 is 198464.

2. What are the Factors of 443?

Answer: Factors of 443 are 1, 443. There are 2 integers that are factors of 443. The greatest factor of 443 is 443.

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 443 and 448?

Answer:

Least Common Multiple of 443 and 448 = 198464

Step 1: Find the prime factorization of 443

443 = 443

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 = 198464 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 443

Step 4: Therefore, the least common multiple of 443 and 448 is 198464.