Given Numbers are 293, 301

We can find the LCM of 293, 301 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 293 and 301

Multiples of 293 =293,586,879,1172,1465,1758,2051,2344,2637,2930,3223,3516,3809,4102,4395,4688,4981,

Multiples of 301 =301,602,903,1204,1505,1806,2107,2408,2709,3010,3311,3612,3913,4214,4515,4816,5117,

Now, get the least common multiple of 293, 301 which is 88193

So, the LCM of 293, 301 is 88193.

One method for determining the LCM of 293 and 301 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 293's prime factorization:

Prime factors of 293 are 293.

293 = 293¹

And this is 301's prime factorization:

Prime factors of 301 are 7,43.

301 = 7¹×43¹

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:293, 7,43

7¹×43¹×293¹ = 88193

This shows that the LCM of 293 and 301 is 88193.

The first step in determining the Least Common Multiple of 293 and 301 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 293 and 301:

Lets look at the first ten multiples of these numbers, 293 and 301:

293,586,879,1172,1465,1758,2051,2344,2637,4981 are the first ten multiples of 293.

301,602,903,1204,1505,1806,2107,2408,2709,5117 are the first ten multiples of 301.

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 293 and 301, for example, are 3516, 4981, and 4816. 88193 is the least common multiple since it is the smallest.

293 and 301 have an LCM of 88193.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 293 and 301, than apply into the LCM equation.

GCF(293,301) = 1
LCM(293,301) = ( 293 × 301) / 1
LCM(293,301) = 88193 / 1
LCM(293,301) = 88193

1. What is the LCM of 293 and 301?

The LCM of 293 and 301 is 88193.

2. How to find the lowest common multiple of 293 and 301?

To find the lowest common multiple of 293 and 301, we have to get the multip;es of both numbers and identify the least common multiple in them which is 88193.

3. What are the Factors of 293?

Answer: Factors of 293 are 1, 293. There are 2 integers that are factors of 293. The greatest factor of 293 is 293.

4. What are the Factors of 301?

Answer: Factors of 301 are 1, 7, 43, 301. There are 4 integers that are factors of 301. The greatest factor of 301 is 301.

Answer:

Least Common Multiple of 293 and 301 = 88193

Step 1: Find the prime factorization of 293

293 = 293

Step 2: Find the prime factorization of 301

301 = 7 x 43

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

LCM = 88193 = 7 x 43 x 293

Step 4: Therefore, the least common multiple of 293 and 301 is 88193.