Least Common Multiple of 446 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 446 and 448 the smallest integer that is 99904 that is divisible by both numbers.

Least Common Multiple (LCM) of 446 and 448 is 99904.

LCM(446,448) = 99904

LCM of 446 and 448

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

LCM of:
and

Least Common Multiple of 446 and 448

LCM of 446 and 448 is 99904

Least common multiple can be found by multiplying the highest exponent prime factors of 446 and 448. First we will calculate the prime factors of 446 and 448.

Prime Factorization of 446


2 446
223 223
1

Prime factors of 446 are 2,223. Prime factorization of 446 in exponential form is:

446 = 21×2231

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 446 and 448.

LCM(446,448) = 26×71×2231
LCM(446,448) = 99904

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1, 2, 223, 446

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 446 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 446 and 448, than apply into the LCM equation.

GCF(446,448) = 2
LCM(446,448) = ( 446 × 448) / 2
LCM(446,448) = 199808 / 2
LCM(446,448) = 99904

Properties of LCM 446 and 448

(i) The LCM of 448 and 446 is associative

LCM of 446 and 448 = LCM of 448 and 446

Related Least Common Multiples of 446

Related Least Common Multiples of 448

Frequently Asked Questions on LCM of 446 and 448

1. What is the LCM of 446 and 448?

Answer: LCM of 446 and 448 is 99904.

2. What are the Factors of 446?

Answer: Factors of 446 are 1, 2, 223, 446. There are 4 integers that are factors of 446. The greatest factor of 446 is 446.

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 446 and 448?

Answer:

Least Common Multiple of 446 and 448 = 99904

Step 1: Find the prime factorization of 446

446 = 2 x 223

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 = 99904 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 223

Step 4: Therefore, the least common multiple of 446 and 448 is 99904.