Least Common Multiple of 448 and 452

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 452 the smallest integer that is 50624 that is divisible by both numbers.

Least Common Multiple (LCM) of 448 and 452 is 50624.

LCM(448,452) = 50624

LCM of 448 and 452

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

LCM of:
and

Least Common Multiple of 448 and 452

LCM of 448 and 452 is 50624

Least common multiple can be found by multiplying the highest exponent prime factors of 448 and 452. First we will calculate the prime factors of 448 and 452.

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 452


2 452
2 226
113 113
1

Prime factors of 452 are 2,113. Prime factorization of 452 in exponential form is:

452 = 22×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 448 and 452.

LCM(448,452) = 26×71×1131
LCM(448,452) = 50624

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 452

List of positive integer factors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Least Common Multiple of 448 and 452 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 452, than apply into the LCM equation.

GCF(448,452) = 4
LCM(448,452) = ( 448 × 452) / 4
LCM(448,452) = 202496 / 4
LCM(448,452) = 50624

Properties of LCM 448 and 452

(i) The LCM of 452 and 448 is associative

LCM of 448 and 452 = LCM of 452 and 448

Related Least Common Multiples of 448

Related Least Common Multiples of 452

Frequently Asked Questions on LCM of 448 and 452

1. What is the LCM of 448 and 452?

Answer: LCM of 448 and 452 is 50624.

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 452?

Answer: Factors of 452 are 1, 2, 4, 113, 226, 452. There are 6 integers that are factors of 452. The greatest factor of 452 is 452.

4. How to Find the LCM of 448 and 452?

Answer:

Least Common Multiple of 448 and 452 = 50624

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 452

452 = 2 x 2 x 113

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

LCM = 50624 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 113

Step 4: Therefore, the least common multiple of 448 and 452 is 50624.