Least Common Multiple of 441 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 441 and 448 the smallest integer that is 28224 that is divisible by both numbers.

Least Common Multiple (LCM) of 441 and 448 is 28224.

LCM(441,448) = 28224

LCM of 441 and 448

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

LCM of:
and

Least Common Multiple of 441 and 448

LCM of 441 and 448 is 28224

Least common multiple can be found by multiplying the highest exponent prime factors of 441 and 448. First we will calculate the prime factors of 441 and 448.

Prime Factorization of 441


3 441
3 147
7 49
7 7
1

Prime factors of 441 are 3,7. Prime factorization of 441 in exponential form is:

441 = 32×72

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 441 and 448.

LCM(441,448) = 26×32×72
LCM(441,448) = 28224

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

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 441 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 441 and 448, than apply into the LCM equation.

GCF(441,448) = 7
LCM(441,448) = ( 441 × 448) / 7
LCM(441,448) = 197568 / 7
LCM(441,448) = 28224

Properties of LCM 441 and 448

(i) The LCM of 448 and 441 is associative

LCM of 441 and 448 = LCM of 448 and 441

Related Least Common Multiples of 441

Related Least Common Multiples of 448

Frequently Asked Questions on LCM of 441 and 448

1. What is the LCM of 441 and 448?

Answer: LCM of 441 and 448 is 28224.

2. What are the Factors of 441?

Answer: Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441. There are 9 integers that are factors of 441. The greatest factor of 441 is 441.

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 441 and 448?

Answer:

Least Common Multiple of 441 and 448 = 28224

Step 1: Find the prime factorization of 441

441 = 3 x 3 x 7 x 7

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 = 28224 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7

Step 4: Therefore, the least common multiple of 441 and 448 is 28224.