Least Common Multiple of 447 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 447 and 448 the smallest integer that is 200256 that is divisible by both numbers.

Least Common Multiple (LCM) of 447 and 448 is 200256.

LCM(447,448) = 200256

LCM of 447 and 448

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

LCM of:
and

Least Common Multiple of 447 and 448

LCM of 447 and 448 is 200256

Least common multiple can be found by multiplying the highest exponent prime factors of 447 and 448. First we will calculate the prime factors of 447 and 448.

Prime Factorization of 447


3 447
149 149
1

Prime factors of 447 are 3,149. Prime factorization of 447 in exponential form is:

447 = 31×1491

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 447 and 448.

LCM(447,448) = 26×31×71×1491
LCM(447,448) = 200256

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1, 3, 149, 447

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 447 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 447 and 448, than apply into the LCM equation.

GCF(447,448) = 1
LCM(447,448) = ( 447 × 448) / 1
LCM(447,448) = 200256 / 1
LCM(447,448) = 200256

Properties of LCM 447 and 448

(i) The LCM of 448 and 447 is associative

LCM of 447 and 448 = LCM of 448 and 447

Related Least Common Multiples of 447

Related Least Common Multiples of 448

Frequently Asked Questions on LCM of 447 and 448

1. What is the LCM of 447 and 448?

Answer: LCM of 447 and 448 is 200256.

2. What are the Factors of 447?

Answer: Factors of 447 are 1, 3, 149, 447. There are 4 integers that are factors of 447. The greatest factor of 447 is 447.

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 447 and 448?

Answer:

Least Common Multiple of 447 and 448 = 200256

Step 1: Find the prime factorization of 447

447 = 3 x 149

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 = 200256 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 149

Step 4: Therefore, the least common multiple of 447 and 448 is 200256.