Given Numbers are 227, 233

We can find the LCM of 227, 233 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 227 and 233

Multiples of 227 =227,454,681,908,1135,1362,1589,1816,2043,2270,2497,2724,2951,3178,3405,3632,3859,

Multiples of 233 =233,466,699,932,1165,1398,1631,1864,2097,2330,2563,2796,3029,3262,3495,3728,3961,

Now, get the least common multiple of 227, 233 which is 52891

So, the LCM of 227, 233 is 52891.

One method for determining the LCM of 227 and 233 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 227's prime factorization:

Prime factors of 227 are 227.

227 = 227¹

And this is 233's prime factorization:

Prime factors of 233 are 233.

233 = 233¹

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:227,233

227¹×233¹ = 52891

This shows that the LCM of 227 and 233 is 52891.

The first step in determining the Least Common Multiple of 227 and 233 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 227 and 233:

Lets look at the first ten multiples of these numbers, 227 and 233:

227,454,681,908,1135,1362,1589,1816,2043,3859 are the first ten multiples of 227.

233,466,699,932,1165,1398,1631,1864,2097,3961 are the first ten multiples of 233.

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 227 and 233, for example, are 2724, 3859, and 3728. 52891 is the least common multiple since it is the smallest.

227 and 233 have an LCM of 52891.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 227 and 233, than apply into the LCM equation.

GCF(227,233) = 1
LCM(227,233) = ( 227 × 233) / 1
LCM(227,233) = 52891 / 1
LCM(227,233) = 52891

1. What is the LCM of 227 and 233?

The LCM of 227 and 233 is 52891.

2. How to find the lowest common multiple of 227 and 233?

To find the lowest common multiple of 227 and 233, we have to get the multip;es of both numbers and identify the least common multiple in them which is 52891.

3. What are the Factors of 227?

Answer: Factors of 227 are 1, 227. There are 2 integers that are factors of 227. The greatest factor of 227 is 227.

4. What are the Factors of 233?

Answer: Factors of 233 are 1, 233. There are 2 integers that are factors of 233. The greatest factor of 233 is 233.

Answer:

Least Common Multiple of 227 and 233 = 52891

Step 1: Find the prime factorization of 227

227 = 227

Step 2: Find the prime factorization of 233

233 = 233

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

LCM = 52891 = 227 x 233

Step 4: Therefore, the least common multiple of 227 and 233 is 52891.