Given Numbers are 235, 239

We can find the LCM of 235, 239 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 235 and 239

Multiples of 235 =235,470,705,940,1175,1410,1645,1880,2115,2350,2585,2820,3055,3290,3525,3760,3995,

Multiples of 239 =239,478,717,956,1195,1434,1673,1912,2151,2390,2629,2868,3107,3346,3585,3824,4063,

Now, get the least common multiple of 235, 239 which is 56165

So, the LCM of 235, 239 is 56165.

One method for determining the LCM of 235 and 239 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 235's prime factorization:

Prime factors of 235 are 5,47.

235 = 5¹×47¹

And this is 239's prime factorization:

Prime factors of 239 are 239.

239 = 239¹

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: 5,47,239

5¹×47¹×239¹ = 56165

This shows that the LCM of 235 and 239 is 56165.

The first step in determining the Least Common Multiple of 235 and 239 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 235 and 239:

Lets look at the first ten multiples of these numbers, 235 and 239:

235,470,705,940,1175,1410,1645,1880,2115,3995 are the first ten multiples of 235.

239,478,717,956,1195,1434,1673,1912,2151,4063 are the first ten multiples of 239.

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 235 and 239, for example, are 2820, 3995, and 3824. 56165 is the least common multiple since it is the smallest.

235 and 239 have an LCM of 56165.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 235 and 239, than apply into the LCM equation.

GCF(235,239) = 1
LCM(235,239) = ( 235 × 239) / 1
LCM(235,239) = 56165 / 1
LCM(235,239) = 56165

1. What is the LCM of 235 and 239?

The LCM of 235 and 239 is 56165.

2. How to find the lowest common multiple of 235 and 239?

To find the lowest common multiple of 235 and 239, we have to get the multip;es of both numbers and identify the least common multiple in them which is 56165.

3. What are the Factors of 235?

Answer: Factors of 235 are 1, 5, 47, 235. There are 4 integers that are factors of 235. The greatest factor of 235 is 235.

4. What are the Factors of 239?

Answer: Factors of 239 are 1, 239. There are 2 integers that are factors of 239. The greatest factor of 239 is 239.

Answer:

Least Common Multiple of 235 and 239 = 56165

Step 1: Find the prime factorization of 235

235 = 5 x 47

Step 2: Find the prime factorization of 239

239 = 239

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

LCM = 56165 = 5 x 47 x 239

Step 4: Therefore, the least common multiple of 235 and 239 is 56165.