Least Common Multiple of 445 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 445 and 448 the smallest integer that is 199360 that is divisible by both numbers.

Least Common Multiple (LCM) of 445 and 448 is 199360.

LCM(445,448) = 199360

LCM of 445 and 448

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

LCM of:
and

Least Common Multiple of 445 and 448

LCM of 445 and 448 is 199360

Least common multiple can be found by multiplying the highest exponent prime factors of 445 and 448. First we will calculate the prime factors of 445 and 448.

Prime Factorization of 445


5 445
89 89
1

Prime factors of 445 are 5,89. Prime factorization of 445 in exponential form is:

445 = 51×891

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 445 and 448.

LCM(445,448) = 26×51×71×891
LCM(445,448) = 199360

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1, 5, 89, 445

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 445 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 445 and 448, than apply into the LCM equation.

GCF(445,448) = 1
LCM(445,448) = ( 445 × 448) / 1
LCM(445,448) = 199360 / 1
LCM(445,448) = 199360

Properties of LCM 445 and 448

(i) The LCM of 448 and 445 is associative

LCM of 445 and 448 = LCM of 448 and 445

Related Least Common Multiples of 445

Related Least Common Multiples of 448

Frequently Asked Questions on LCM of 445 and 448

1. What is the LCM of 445 and 448?

Answer: LCM of 445 and 448 is 199360.

2. What are the Factors of 445?

Answer: Factors of 445 are 1, 5, 89, 445. There are 4 integers that are factors of 445. The greatest factor of 445 is 445.

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 445 and 448?

Answer:

Least Common Multiple of 445 and 448 = 199360

Step 1: Find the prime factorization of 445

445 = 5 x 89

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 = 199360 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 89

Step 4: Therefore, the least common multiple of 445 and 448 is 199360.