Given Numbers are 287, 293

We can find the LCM of 287, 293 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 287 and 293

Multiples of 287 =287,574,861,1148,1435,1722,2009,2296,2583,2870,3157,3444,3731,4018,4305,4592,4879,

Multiples of 293 =293,586,879,1172,1465,1758,2051,2344,2637,2930,3223,3516,3809,4102,4395,4688,4981,

Now, get the least common multiple of 287, 293 which is 84091

So, the LCM of 287, 293 is 84091.

One method for determining the LCM of 287 and 293 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 287's prime factorization:

Prime factors of 287 are 7,41.

287 = 7¹×41¹

And this is 293's prime factorization:

Prime factors of 293 are 293.

293 = 293¹

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: 7,41,293

7¹×41¹×293¹ = 84091

This shows that the LCM of 287 and 293 is 84091.

The first step in determining the Least Common Multiple of 287 and 293 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 287 and 293:

Lets look at the first ten multiples of these numbers, 287 and 293:

287,574,861,1148,1435,1722,2009,2296,2583,4879 are the first ten multiples of 287.

293,586,879,1172,1465,1758,2051,2344,2637,4981 are the first ten multiples of 293.

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 287 and 293, for example, are 3444, 4879, and 4688. 84091 is the least common multiple since it is the smallest.

287 and 293 have an LCM of 84091.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 287 and 293, than apply into the LCM equation.

GCF(287,293) = 1
LCM(287,293) = ( 287 × 293) / 1
LCM(287,293) = 84091 / 1
LCM(287,293) = 84091

1. What is the LCM of 287 and 293?

The LCM of 287 and 293 is 84091.

2. How to find the lowest common multiple of 287 and 293?

To find the lowest common multiple of 287 and 293, we have to get the multip;es of both numbers and identify the least common multiple in them which is 84091.

3. What are the Factors of 287?

Answer: Factors of 287 are 1, 7, 41, 287. There are 4 integers that are factors of 287. The greatest factor of 287 is 287.

4. What are the Factors of 293?

Answer: Factors of 293 are 1, 293. There are 2 integers that are factors of 293. The greatest factor of 293 is 293.

Answer:

Least Common Multiple of 287 and 293 = 84091

Step 1: Find the prime factorization of 287

287 = 7 x 41

Step 2: Find the prime factorization of 293

293 = 293

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

LCM = 84091 = 7 x 41 x 293

Step 4: Therefore, the least common multiple of 287 and 293 is 84091.