Given Numbers are 251, 259

We can find the LCM of 251, 259 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 251 and 259

Multiples of 251 =251,502,753,1004,1255,1506,1757,2008,2259,2510,2761,3012,3263,3514,3765,4016,4267,

Multiples of 259 =259,518,777,1036,1295,1554,1813,2072,2331,2590,2849,3108,3367,3626,3885,4144,4403,

Now, get the least common multiple of 251, 259 which is 65009

So, the LCM of 251, 259 is 65009.

One method for determining the LCM of 251 and 259 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 251's prime factorization:

Prime factors of 251 are 251.

251 = 251¹

And this is 259's prime factorization:

Prime factors of 259 are 7,37.

259 = 7¹×37¹

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:251, 7,37

7¹×37¹×251¹ = 65009

This shows that the LCM of 251 and 259 is 65009.

The first step in determining the Least Common Multiple of 251 and 259 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 251 and 259:

Lets look at the first ten multiples of these numbers, 251 and 259:

251,502,753,1004,1255,1506,1757,2008,2259,4267 are the first ten multiples of 251.

259,518,777,1036,1295,1554,1813,2072,2331,4403 are the first ten multiples of 259.

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 251 and 259, for example, are 3012, 4267, and 4144. 65009 is the least common multiple since it is the smallest.

251 and 259 have an LCM of 65009.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 251 and 259, than apply into the LCM equation.

GCF(251,259) = 1
LCM(251,259) = ( 251 × 259) / 1
LCM(251,259) = 65009 / 1
LCM(251,259) = 65009

1. What is the LCM of 251 and 259?

The LCM of 251 and 259 is 65009.

2. How to find the lowest common multiple of 251 and 259?

To find the lowest common multiple of 251 and 259, we have to get the multip;es of both numbers and identify the least common multiple in them which is 65009.

3. What are the Factors of 251?

Answer: Factors of 251 are 1, 251. There are 2 integers that are factors of 251. The greatest factor of 251 is 251.

4. What are the Factors of 259?

Answer: Factors of 259 are 1, 7, 37, 259. There are 4 integers that are factors of 259. The greatest factor of 259 is 259.

Answer:

Least Common Multiple of 251 and 259 = 65009

Step 1: Find the prime factorization of 251

251 = 251

Step 2: Find the prime factorization of 259

259 = 7 x 37

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

LCM = 65009 = 7 x 37 x 251

Step 4: Therefore, the least common multiple of 251 and 259 is 65009.