Given Numbers are 437, 443

We can find the LCM of 437, 443 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 437 and 443

Multiples of 437 =437,874,1311,1748,2185,2622,3059,3496,3933,4370,4807,5244,5681,6118,6555,6992,7429,

Multiples of 443 =443,886,1329,1772,2215,2658,3101,3544,3987,4430,4873,5316,5759,6202,6645,7088,7531,

Now, get the least common multiple of 437, 443 which is 193591

So, the LCM of 437, 443 is 193591.

One method for determining the LCM of 437 and 443 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 437's prime factorization:

Prime factors of 437 are 19,23.

437 = 19¹×23¹

And this is 443's prime factorization:

Prime factors of 443 are 443.

443 = 443¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 19,23,443

19¹×23¹×443¹ = 193591

This shows that the LCM of 437 and 443 is 193591.

The first step in determining the Least Common Multiple of 437 and 443 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 437 and 443:

Lets look at the first ten multiples of these numbers, 437 and 443:

437,874,1311,1748,2185,2622,3059,3496,3933,7429 are the first ten multiples of 437.

443,886,1329,1772,2215,2658,3101,3544,3987,7531 are the first ten multiples of 443.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 437 and 443, for example, are 5244, 7429, and 7088. 193591 is the least common multiple since it is the smallest.

437 and 443 have an LCM of 193591.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 437 and 443, than apply into the LCM equation.

GCF(437,443) = 1
LCM(437,443) = ( 437 × 443) / 1
LCM(437,443) = 193591 / 1
LCM(437,443) = 193591

1. What is the LCM of 437 and 443?

The LCM of 437 and 443 is 193591.

2. How to find the lowest common multiple of 437 and 443?

To find the lowest common multiple of 437 and 443, we have to get the multip;es of both numbers and identify the least common multiple in them which is 193591.

3. What are the Factors of 437?

Answer: Factors of 437 are 1, 19, 23, 437. There are 4 integers that are factors of 437. The greatest factor of 437 is 437.

4. What are the Factors of 443?

Answer: Factors of 443 are 1, 443. There are 2 integers that are factors of 443. The greatest factor of 443 is 443.

Answer:

Least Common Multiple of 437 and 443 = 193591

Step 1: Find the prime factorization of 437

437 = 19 x 23

Step 2: Find the prime factorization of 443

443 = 443

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

LCM = 193591 = 19 x 23 x 443

Step 4: Therefore, the least common multiple of 437 and 443 is 193591.