Given Numbers are 281, 287

We can find the LCM of 281, 287 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 281 and 287

Multiples of 281 =281,562,843,1124,1405,1686,1967,2248,2529,2810,3091,3372,3653,3934,4215,4496,4777,

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

Now, get the least common multiple of 281, 287 which is 80647

So, the LCM of 281, 287 is 80647.

One method for determining the LCM of 281 and 287 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 281's prime factorization:

Prime factors of 281 are 281.

281 = 281¹

And this is 287's prime factorization:

Prime factors of 287 are 7,41.

287 = 7¹×41¹

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:281, 7,41

7¹×41¹×281¹ = 80647

This shows that the LCM of 281 and 287 is 80647.

The first step in determining the Least Common Multiple of 281 and 287 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 281 and 287:

Lets look at the first ten multiples of these numbers, 281 and 287:

281,562,843,1124,1405,1686,1967,2248,2529,4777 are the first ten multiples of 281.

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

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 281 and 287, for example, are 3372, 4777, and 4592. 80647 is the least common multiple since it is the smallest.

281 and 287 have an LCM of 80647.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 281 and 287, than apply into the LCM equation.

GCF(281,287) = 1
LCM(281,287) = ( 281 × 287) / 1
LCM(281,287) = 80647 / 1
LCM(281,287) = 80647

1. What is the LCM of 281 and 287?

The LCM of 281 and 287 is 80647.

2. How to find the lowest common multiple of 281 and 287?

To find the lowest common multiple of 281 and 287, we have to get the multip;es of both numbers and identify the least common multiple in them which is 80647.

3. What are the Factors of 281?

Answer: Factors of 281 are 1, 281. There are 2 integers that are factors of 281. The greatest factor of 281 is 281.

4. 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.

Answer:

Least Common Multiple of 281 and 287 = 80647

Step 1: Find the prime factorization of 281

281 = 281

Step 2: Find the prime factorization of 287

287 = 7 x 41

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

LCM = 80647 = 7 x 41 x 281

Step 4: Therefore, the least common multiple of 281 and 287 is 80647.