Given Numbers are 281, 289

We can find the LCM of 281, 289 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 281 and 289

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

Multiples of 289 =289,578,867,1156,1445,1734,2023,2312,2601,2890,3179,3468,3757,4046,4335,4624,4913,

Now, get the least common multiple of 281, 289 which is 81209

So, the LCM of 281, 289 is 81209.

One method for determining the LCM of 281 and 289 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 289's prime factorization:

Prime factors of 289 are 17.

289 = 17²

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:281,17

17²×281¹ = 81209

This shows that the LCM of 281 and 289 is 81209.

The first step in determining the Least Common Multiple of 281 and 289 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 281 and 289:

Lets look at the first ten multiples of these numbers, 281 and 289:

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

289,578,867,1156,1445,1734,2023,2312,2601,4913 are the first ten multiples of 289.

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 289, for example, are 3372, 4777, and 4624. 81209 is the least common multiple since it is the smallest.

281 and 289 have an LCM of 81209.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 281 and 289, than apply into the LCM equation.

GCF(281,289) = 1
LCM(281,289) = ( 281 × 289) / 1
LCM(281,289) = 81209 / 1
LCM(281,289) = 81209

1. What is the LCM of 281 and 289?

The LCM of 281 and 289 is 81209.

2. How to find the lowest common multiple of 281 and 289?

To find the lowest common multiple of 281 and 289, we have to get the multip;es of both numbers and identify the least common multiple in them which is 81209.

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 289?

Answer: Factors of 289 are 1, 17, 289. There are 3 integers that are factors of 289. The greatest factor of 289 is 289.

Answer:

Least Common Multiple of 281 and 289 = 81209

Step 1: Find the prime factorization of 281

281 = 281

Step 2: Find the prime factorization of 289

289 = 17 x 17

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

LCM = 81209 = 17 x 17 x 281

Step 4: Therefore, the least common multiple of 281 and 289 is 81209.