Given Numbers are 259, 267

We can find the LCM of 259, 267 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 259 and 267

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

Multiples of 267 =267,534,801,1068,1335,1602,1869,2136,2403,2670,2937,3204,3471,3738,4005,4272,4539,

Now, get the least common multiple of 259, 267 which is 69153

So, the LCM of 259, 267 is 69153.

One method for determining the LCM of 259 and 267 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 267's prime factorization:

Prime factors of 267 are 3,89.

267 = 3¹×89¹

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, 3,89

3¹×7¹×37¹×89¹ = 69153

This shows that the LCM of 259 and 267 is 69153.

The first step in determining the Least Common Multiple of 259 and 267 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 259 and 267:

Lets look at the first ten multiples of these numbers, 259 and 267:

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

267,534,801,1068,1335,1602,1869,2136,2403,4539 are the first ten multiples of 267.

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 267, for example, are 3108, 4403, and 4272. 69153 is the least common multiple since it is the smallest.

259 and 267 have an LCM of 69153.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 259 and 267, than apply into the LCM equation.

GCF(259,267) = 1
LCM(259,267) = ( 259 × 267) / 1
LCM(259,267) = 69153 / 1
LCM(259,267) = 69153

1. What is the LCM of 259 and 267?

The LCM of 259 and 267 is 69153.

2. How to find the lowest common multiple of 259 and 267?

To find the lowest common multiple of 259 and 267, we have to get the multip;es of both numbers and identify the least common multiple in them which is 69153.

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 267?

Answer: Factors of 267 are 1, 3, 89, 267. There are 4 integers that are factors of 267. The greatest factor of 267 is 267.

Answer:

Least Common Multiple of 259 and 267 = 69153

Step 1: Find the prime factorization of 259

259 = 7 x 37

Step 2: Find the prime factorization of 267

267 = 3 x 89

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

LCM = 69153 = 3 x 7 x 37 x 89

Step 4: Therefore, the least common multiple of 259 and 267 is 69153.