Given Numbers are 228, 233

We can find the LCM of 228, 233 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 228 and 233

Multiples of 228 =228,456,684,912,1140,1368,1596,1824,2052,2280,2508,2736,2964,3192,3420,3648,3876,

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 228, 233 which is 53124

So, the LCM of 228, 233 is 53124.

One method for determining the LCM of 228 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 228's prime factorization:

Prime factors of 228 are 2, 3,19.

228 = 2²×3¹×19¹

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: 2, 3,19,233

2²×3¹×19¹×233¹ = 53124

This shows that the LCM of 228 and 233 is 53124.

The first step in determining the Least Common Multiple of 228 and 233 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 228 and 233:

Lets look at the first ten multiples of these numbers, 228 and 233:

228,456,684,912,1140,1368,1596,1824,2052,3876 are the first ten multiples of 228.

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 228 and 233, for example, are 2736, 3876, and 3728. 53124 is the least common multiple since it is the smallest.

228 and 233 have an LCM of 53124.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 228 and 233, than apply into the LCM equation.

GCF(228,233) = 1
LCM(228,233) = ( 228 × 233) / 1
LCM(228,233) = 53124 / 1
LCM(228,233) = 53124

1. What is the LCM of 228 and 233?

The LCM of 228 and 233 is 53124.

2. How to find the lowest common multiple of 228 and 233?

To find the lowest common multiple of 228 and 233, we have to get the multip;es of both numbers and identify the least common multiple in them which is 53124.

3. What are the Factors of 228?

Answer: Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228. There are 12 integers that are factors of 228. The greatest factor of 228 is 228.

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 228 and 233 = 53124

Step 1: Find the prime factorization of 228

228 = 2 x 2 x 3 x 19

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 = 53124 = 2 x 2 x 3 x 19 x 233

Step 4: Therefore, the least common multiple of 228 and 233 is 53124.