Given Numbers are 229, 237

We can find the LCM of 229, 237 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 229 and 237

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

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 229, 237 which is 54273

So, the LCM of 229, 237 is 54273.

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

Prime factors of 229 are 229.

229 = 229¹

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:229, 3,79

3¹×79¹×229¹ = 54273

This shows that the LCM of 229 and 237 is 54273.

The first step in determining the Least Common Multiple of 229 and 237 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 229 and 237:

Lets look at the first ten multiples of these numbers, 229 and 237:

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

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 229 and 237, for example, are 2748, 3893, and 3792. 54273 is the least common multiple since it is the smallest.

229 and 237 have an LCM of 54273.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 229 and 237, than apply into the LCM equation.

GCF(229,237) = 1
LCM(229,237) = ( 229 × 237) / 1
LCM(229,237) = 54273 / 1
LCM(229,237) = 54273

1. What is the LCM of 229 and 237?

The LCM of 229 and 237 is 54273.

2. How to find the lowest common multiple of 229 and 237?

To find the lowest common multiple of 229 and 237, we have to get the multip;es of both numbers and identify the least common multiple in them which is 54273.

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 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 229 and 237 = 54273

Step 1: Find the prime factorization of 229

229 = 229

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 = 54273 = 3 x 79 x 229

Step 4: Therefore, the least common multiple of 229 and 237 is 54273.