Least Common Multiple of 448 and 455

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 455 the smallest integer that is 29120 that is divisible by both numbers.

Least Common Multiple (LCM) of 448 and 455 is 29120.

LCM(448,455) = 29120

LCM of 448 and 455

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

LCM of:
and

Least Common Multiple of 448 and 455

LCM of 448 and 455 is 29120

Least common multiple can be found by multiplying the highest exponent prime factors of 448 and 455. First we will calculate the prime factors of 448 and 455.

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 455


5 455
7 91
13 13
1

Prime factors of 455 are 5, 7,13. Prime factorization of 455 in exponential form is:

455 = 51×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 448 and 455.

LCM(448,455) = 26×51×71×131
LCM(448,455) = 29120

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 455

List of positive integer factors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Least Common Multiple of 448 and 455 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 455, than apply into the LCM equation.

GCF(448,455) = 7
LCM(448,455) = ( 448 × 455) / 7
LCM(448,455) = 203840 / 7
LCM(448,455) = 29120

Properties of LCM 448 and 455

(i) The LCM of 455 and 448 is associative

LCM of 448 and 455 = LCM of 455 and 448

Related Least Common Multiples of 448

Related Least Common Multiples of 455

Frequently Asked Questions on LCM of 448 and 455

1. What is the LCM of 448 and 455?

Answer: LCM of 448 and 455 is 29120.

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 455?

Answer: Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455. There are 8 integers that are factors of 455. The greatest factor of 455 is 455.

4. How to Find the LCM of 448 and 455?

Answer:

Least Common Multiple of 448 and 455 = 29120

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 455

455 = 5 x 7 x 13

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

LCM = 29120 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 13

Step 4: Therefore, the least common multiple of 448 and 455 is 29120.