Given Numbers are 259, 263

We can find the LCM of 259, 263 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 259 and 263

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

Multiples of 263 =263,526,789,1052,1315,1578,1841,2104,2367,2630,2893,3156,3419,3682,3945,4208,4471,

Now, get the least common multiple of 259, 263 which is 68117

So, the LCM of 259, 263 is 68117.

One method for determining the LCM of 259 and 263 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 259's prime factorization:

Prime factors of 259 are 7,37.

259 = 7¹×37¹

And this is 263's prime factorization:

Prime factors of 263 are 263.

263 = 263¹

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: 7,37,263

7¹×37¹×263¹ = 68117

This shows that the LCM of 259 and 263 is 68117.

The first step in determining the Least Common Multiple of 259 and 263 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 259 and 263:

Lets look at the first ten multiples of these numbers, 259 and 263:

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

263,526,789,1052,1315,1578,1841,2104,2367,4471 are the first ten multiples of 263.

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 259 and 263, for example, are 3108, 4403, and 4208. 68117 is the least common multiple since it is the smallest.

259 and 263 have an LCM of 68117.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 259 and 263, than apply into the LCM equation.

GCF(259,263) = 1
LCM(259,263) = ( 259 × 263) / 1
LCM(259,263) = 68117 / 1
LCM(259,263) = 68117

1. What is the LCM of 259 and 263?

The LCM of 259 and 263 is 68117.

2. How to find the lowest common multiple of 259 and 263?

To find the lowest common multiple of 259 and 263, we have to get the multip;es of both numbers and identify the least common multiple in them which is 68117.

3. 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.

4. What are the Factors of 263?

Answer: Factors of 263 are 1, 263. There are 2 integers that are factors of 263. The greatest factor of 263 is 263.

Answer:

Least Common Multiple of 259 and 263 = 68117

Step 1: Find the prime factorization of 259

259 = 7 x 37

Step 2: Find the prime factorization of 263

263 = 263

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

LCM = 68117 = 7 x 37 x 263

Step 4: Therefore, the least common multiple of 259 and 263 is 68117.