Given Numbers are 252, 259

We can find the LCM of 252, 259 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 252 and 259

Multiples of 252 =252,504,756,1008,1260,1512,1764,2016,2268,2520,2772,3024,3276,3528,3780,4032,4284,

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 252, 259 which is 9324

So, the LCM of 252, 259 is 9324.

One method for determining the LCM of 252 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 252's prime factorization:

Prime factors of 252 are 2, 3,7.

252 = 2²×3²×7¹

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: 2, 3,7,37

2²×3²×7¹×37¹ = 9324

This shows that the LCM of 252 and 259 is 9324.

The first step in determining the Least Common Multiple of 252 and 259 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 252 and 259:

Lets look at the first ten multiples of these numbers, 252 and 259:

252,504,756,1008,1260,1512,1764,2016,2268,4284 are the first ten multiples of 252.

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 252 and 259, for example, are 3024, 4284, and 4144. 9324 is the least common multiple since it is the smallest.

252 and 259 have an LCM of 9324.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 252 and 259, than apply into the LCM equation.

GCF(252,259) = 7
LCM(252,259) = ( 252 × 259) / 7
LCM(252,259) = 65268 / 7
LCM(252,259) = 9324

1. What is the LCM of 252 and 259?

The LCM of 252 and 259 is 9324.

2. How to find the lowest common multiple of 252 and 259?

To find the lowest common multiple of 252 and 259, we have to get the multip;es of both numbers and identify the least common multiple in them which is 9324.

3. What are the Factors of 252?

Answer: Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. There are 18 integers that are factors of 252. The greatest factor of 252 is 252.

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 252 and 259 = 9324

Step 1: Find the prime factorization of 252

252 = 2 x 2 x 3 x 3 x 7

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 = 9324 = 2 x 2 x 3 x 3 x 7 x 37

Step 4: Therefore, the least common multiple of 252 and 259 is 9324.