Given Numbers are 233, 237

We can find the LCM of 233, 237 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 233 and 237

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

Multiples of 237 =237,474,711,948,1185,1422,1659,1896,2133,2370,2607,2844,3081,3318,3555,3792,4029,

Now, get the least common multiple of 233, 237 which is 55221

So, the LCM of 233, 237 is 55221.

One method for determining the LCM of 233 and 237 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 233's prime factorization:

Prime factors of 233 are 233.

233 = 233¹

And this is 237's prime factorization:

Prime factors of 237 are 3,79.

237 = 3¹×79¹

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:233, 3,79

3¹×79¹×233¹ = 55221

This shows that the LCM of 233 and 237 is 55221.

The first step in determining the Least Common Multiple of 233 and 237 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 233 and 237:

Lets look at the first ten multiples of these numbers, 233 and 237:

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

237,474,711,948,1185,1422,1659,1896,2133,4029 are the first ten multiples of 237.

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 233 and 237, for example, are 2796, 3961, and 3792. 55221 is the least common multiple since it is the smallest.

233 and 237 have an LCM of 55221.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 233 and 237, than apply into the LCM equation.

GCF(233,237) = 1
LCM(233,237) = ( 233 × 237) / 1
LCM(233,237) = 55221 / 1
LCM(233,237) = 55221

1. What is the LCM of 233 and 237?

The LCM of 233 and 237 is 55221.

2. How to find the lowest common multiple of 233 and 237?

To find the lowest common multiple of 233 and 237, we have to get the multip;es of both numbers and identify the least common multiple in them which is 55221.

3. 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.

4. What are the Factors of 237?

Answer: Factors of 237 are 1, 3, 79, 237. There are 4 integers that are factors of 237. The greatest factor of 237 is 237.

Answer:

Least Common Multiple of 233 and 237 = 55221

Step 1: Find the prime factorization of 233

233 = 233

Step 2: Find the prime factorization of 237

237 = 3 x 79

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

LCM = 55221 = 3 x 79 x 233

Step 4: Therefore, the least common multiple of 233 and 237 is 55221.