Given Numbers are 237, 241

We can find the LCM of 237, 241 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 237 and 241

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

Multiples of 241 =241,482,723,964,1205,1446,1687,1928,2169,2410,2651,2892,3133,3374,3615,3856,4097,

Now, get the least common multiple of 237, 241 which is 57117

So, the LCM of 237, 241 is 57117.

One method for determining the LCM of 237 and 241 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 237's prime factorization:

Prime factors of 237 are 3,79.

237 = 3¹×79¹

And this is 241's prime factorization:

Prime factors of 241 are 241.

241 = 241¹

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: 3,79,241

3¹×79¹×241¹ = 57117

This shows that the LCM of 237 and 241 is 57117.

The first step in determining the Least Common Multiple of 237 and 241 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 237 and 241:

Lets look at the first ten multiples of these numbers, 237 and 241:

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

241,482,723,964,1205,1446,1687,1928,2169,4097 are the first ten multiples of 241.

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 237 and 241, for example, are 2844, 4029, and 3856. 57117 is the least common multiple since it is the smallest.

237 and 241 have an LCM of 57117.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 237 and 241, than apply into the LCM equation.

GCF(237,241) = 1
LCM(237,241) = ( 237 × 241) / 1
LCM(237,241) = 57117 / 1
LCM(237,241) = 57117

1. What is the LCM of 237 and 241?

The LCM of 237 and 241 is 57117.

2. How to find the lowest common multiple of 237 and 241?

To find the lowest common multiple of 237 and 241, we have to get the multip;es of both numbers and identify the least common multiple in them which is 57117.

3. 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.

4. What are the Factors of 241?

Answer: Factors of 241 are 1, 241. There are 2 integers that are factors of 241. The greatest factor of 241 is 241.

Answer:

Least Common Multiple of 237 and 241 = 57117

Step 1: Find the prime factorization of 237

237 = 3 x 79

Step 2: Find the prime factorization of 241

241 = 241

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

LCM = 57117 = 3 x 79 x 241

Step 4: Therefore, the least common multiple of 237 and 241 is 57117.