Given Numbers are 265, 271

We can find the LCM of 265, 271 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 265 and 271

Multiples of 265 =265,530,795,1060,1325,1590,1855,2120,2385,2650,2915,3180,3445,3710,3975,4240,4505,

Multiples of 271 =271,542,813,1084,1355,1626,1897,2168,2439,2710,2981,3252,3523,3794,4065,4336,4607,

Now, get the least common multiple of 265, 271 which is 71815

So, the LCM of 265, 271 is 71815.

One method for determining the LCM of 265 and 271 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 265's prime factorization:

Prime factors of 265 are 5,53.

265 = 5¹×53¹

And this is 271's prime factorization:

Prime factors of 271 are 271.

271 = 271¹

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: 5,53,271

5¹×53¹×271¹ = 71815

This shows that the LCM of 265 and 271 is 71815.

The first step in determining the Least Common Multiple of 265 and 271 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 265 and 271:

Lets look at the first ten multiples of these numbers, 265 and 271:

265,530,795,1060,1325,1590,1855,2120,2385,4505 are the first ten multiples of 265.

271,542,813,1084,1355,1626,1897,2168,2439,4607 are the first ten multiples of 271.

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 265 and 271, for example, are 3180, 4505, and 4336. 71815 is the least common multiple since it is the smallest.

265 and 271 have an LCM of 71815.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 265 and 271, than apply into the LCM equation.

GCF(265,271) = 1
LCM(265,271) = ( 265 × 271) / 1
LCM(265,271) = 71815 / 1
LCM(265,271) = 71815

1. What is the LCM of 265 and 271?

The LCM of 265 and 271 is 71815.

2. How to find the lowest common multiple of 265 and 271?

To find the lowest common multiple of 265 and 271, we have to get the multip;es of both numbers and identify the least common multiple in them which is 71815.

3. What are the Factors of 265?

Answer: Factors of 265 are 1, 5, 53, 265. There are 4 integers that are factors of 265. The greatest factor of 265 is 265.

4. What are the Factors of 271?

Answer: Factors of 271 are 1, 271. There are 2 integers that are factors of 271. The greatest factor of 271 is 271.

Answer:

Least Common Multiple of 265 and 271 = 71815

Step 1: Find the prime factorization of 265

265 = 5 x 53

Step 2: Find the prime factorization of 271

271 = 271

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

LCM = 71815 = 5 x 53 x 271

Step 4: Therefore, the least common multiple of 265 and 271 is 71815.