Least Common Multiple of 442 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 442 and 448 the smallest integer that is 99008 that is divisible by both numbers.

Least Common Multiple (LCM) of 442 and 448 is 99008.

LCM(442,448) = 99008

LCM of 442 and 448

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

LCM of:
and

Least Common Multiple of 442 and 448

LCM of 442 and 448 is 99008

Least common multiple can be found by multiplying the highest exponent prime factors of 442 and 448. First we will calculate the prime factors of 442 and 448.

Prime Factorization of 442


2 442
13 221
17 17
1

Prime factors of 442 are 2, 13,17. Prime factorization of 442 in exponential form is:

442 = 21×131×171

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 442 and 448.

LCM(442,448) = 26×71×131×171
LCM(442,448) = 99008

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

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 442 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 442 and 448, than apply into the LCM equation.

GCF(442,448) = 2
LCM(442,448) = ( 442 × 448) / 2
LCM(442,448) = 198016 / 2
LCM(442,448) = 99008

Properties of LCM 442 and 448

(i) The LCM of 448 and 442 is associative

LCM of 442 and 448 = LCM of 448 and 442

Related Least Common Multiples of 442

Related Least Common Multiples of 448

Frequently Asked Questions on LCM of 442 and 448

1. What is the LCM of 442 and 448?

Answer: LCM of 442 and 448 is 99008.

2. What are the Factors of 442?

Answer: Factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442. There are 8 integers that are factors of 442. The greatest factor of 442 is 442.

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 442 and 448?

Answer:

Least Common Multiple of 442 and 448 = 99008

Step 1: Find the prime factorization of 442

442 = 2 x 13 x 17

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 = 99008 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 442 and 448 is 99008.