Least Common Multiple of 448 and 449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 448 and 449 the smallest integer that is 201152 that is divisible by both numbers.

Least Common Multiple (LCM) of 448 and 449 is 201152.

LCM(448,449) = 201152

LCM of 448 and 449

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

LCM of:
and

Least Common Multiple of 448 and 449

LCM of 448 and 449 is 201152

Least common multiple can be found by multiplying the highest exponent prime factors of 448 and 449. First we will calculate the prime factors of 448 and 449.

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

Prime Factorization of 449


449 449
1

Prime factors of 449 are 449. Prime factorization of 449 in exponential form is:

449 = 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 448 and 449.

LCM(448,449) = 26×71×4491
LCM(448,449) = 201152

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

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1, 449

Least Common Multiple of 448 and 449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 448 and 449, than apply into the LCM equation.

GCF(448,449) = 1
LCM(448,449) = ( 448 × 449) / 1
LCM(448,449) = 201152 / 1
LCM(448,449) = 201152

Properties of LCM 448 and 449

(i) The LCM of 449 and 448 is associative

LCM of 448 and 449 = LCM of 449 and 448

Related Least Common Multiples of 448

Related Least Common Multiples of 449

Frequently Asked Questions on LCM of 448 and 449

1. What is the LCM of 448 and 449?

Answer: LCM of 448 and 449 is 201152.

2. 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.

3. What are the Factors of 449?

Answer: Factors of 449 are 1, 449. There are 2 integers that are factors of 449. The greatest factor of 449 is 449.

4. How to Find the LCM of 448 and 449?

Answer:

Least Common Multiple of 448 and 449 = 201152

Step 1: Find the prime factorization of 448

448 = 2 x 2 x 2 x 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 449

449 = 449

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 201152 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 449

Step 4: Therefore, the least common multiple of 448 and 449 is 201152.