Given Numbers are 253, 257

We can find the LCM of 253, 257 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 253 and 257

Multiples of 253 =253,506,759,1012,1265,1518,1771,2024,2277,2530,2783,3036,3289,3542,3795,4048,4301,

Multiples of 257 =257,514,771,1028,1285,1542,1799,2056,2313,2570,2827,3084,3341,3598,3855,4112,4369,

Now, get the least common multiple of 253, 257 which is 65021

So, the LCM of 253, 257 is 65021.

One method for determining the LCM of 253 and 257 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 253's prime factorization:

Prime factors of 253 are 11,23.

253 = 11¹×23¹

And this is 257's prime factorization:

Prime factors of 257 are 257.

257 = 257¹

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: 11,23,257

11¹×23¹×257¹ = 65021

This shows that the LCM of 253 and 257 is 65021.

The first step in determining the Least Common Multiple of 253 and 257 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 253 and 257:

Lets look at the first ten multiples of these numbers, 253 and 257:

253,506,759,1012,1265,1518,1771,2024,2277,4301 are the first ten multiples of 253.

257,514,771,1028,1285,1542,1799,2056,2313,4369 are the first ten multiples of 257.

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 253 and 257, for example, are 3036, 4301, and 4112. 65021 is the least common multiple since it is the smallest.

253 and 257 have an LCM of 65021.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 253 and 257, than apply into the LCM equation.

GCF(253,257) = 1
LCM(253,257) = ( 253 × 257) / 1
LCM(253,257) = 65021 / 1
LCM(253,257) = 65021

1. What is the LCM of 253 and 257?

The LCM of 253 and 257 is 65021.

2. How to find the lowest common multiple of 253 and 257?

To find the lowest common multiple of 253 and 257, we have to get the multip;es of both numbers and identify the least common multiple in them which is 65021.

3. What are the Factors of 253?

Answer: Factors of 253 are 1, 11, 23, 253. There are 4 integers that are factors of 253. The greatest factor of 253 is 253.

4. What are the Factors of 257?

Answer: Factors of 257 are 1, 257. There are 2 integers that are factors of 257. The greatest factor of 257 is 257.

Answer:

Least Common Multiple of 253 and 257 = 65021

Step 1: Find the prime factorization of 253

253 = 11 x 23

Step 2: Find the prime factorization of 257

257 = 257

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

LCM = 65021 = 11 x 23 x 257

Step 4: Therefore, the least common multiple of 253 and 257 is 65021.