Given Numbers are 252, 257

We can find the LCM of 252, 257 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 252 and 257

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

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 252, 257 which is 64764

So, the LCM of 252, 257 is 64764.

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

Prime factors of 252 are 2, 3,7.

252 = 2²×3²×7¹

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: 2, 3,7,257

2²×3²×7¹×257¹ = 64764

This shows that the LCM of 252 and 257 is 64764.

The first step in determining the Least Common Multiple of 252 and 257 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 252 and 257:

Lets look at the first ten multiples of these numbers, 252 and 257:

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

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 252 and 257, for example, are 3024, 4284, and 4112. 64764 is the least common multiple since it is the smallest.

252 and 257 have an LCM of 64764.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 252 and 257, than apply into the LCM equation.

GCF(252,257) = 1
LCM(252,257) = ( 252 × 257) / 1
LCM(252,257) = 64764 / 1
LCM(252,257) = 64764

1. What is the LCM of 252 and 257?

The LCM of 252 and 257 is 64764.

2. How to find the lowest common multiple of 252 and 257?

To find the lowest common multiple of 252 and 257, we have to get the multip;es of both numbers and identify the least common multiple in them which is 64764.

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 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 252 and 257 = 64764

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 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 = 64764 = 2 x 2 x 3 x 3 x 7 x 257

Step 4: Therefore, the least common multiple of 252 and 257 is 64764.