Given Numbers are 229, 233

We can find the LCM of 229, 233 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 229 and 233

Multiples of 229 =229,458,687,916,1145,1374,1603,1832,2061,2290,2519,2748,2977,3206,3435,3664,3893,

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 229, 233 which is 53357

So, the LCM of 229, 233 is 53357.

One method for determining the LCM of 229 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 229's prime factorization:

Prime factors of 229 are 229.

229 = 229¹

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:229,233

229¹×233¹ = 53357

This shows that the LCM of 229 and 233 is 53357.

The first step in determining the Least Common Multiple of 229 and 233 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 229 and 233:

Lets look at the first ten multiples of these numbers, 229 and 233:

229,458,687,916,1145,1374,1603,1832,2061,3893 are the first ten multiples of 229.

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 229 and 233, for example, are 2748, 3893, and 3728. 53357 is the least common multiple since it is the smallest.

229 and 233 have an LCM of 53357.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 229 and 233, than apply into the LCM equation.

GCF(229,233) = 1
LCM(229,233) = ( 229 × 233) / 1
LCM(229,233) = 53357 / 1
LCM(229,233) = 53357

1. What is the LCM of 229 and 233?

The LCM of 229 and 233 is 53357.

2. How to find the lowest common multiple of 229 and 233?

To find the lowest common multiple of 229 and 233, we have to get the multip;es of both numbers and identify the least common multiple in them which is 53357.

3. What are the Factors of 229?

Answer: Factors of 229 are 1, 229. There are 2 integers that are factors of 229. The greatest factor of 229 is 229.

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 229 and 233 = 53357

Step 1: Find the prime factorization of 229

229 = 229

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 = 53357 = 229 x 233

Step 4: Therefore, the least common multiple of 229 and 233 is 53357.