Given Numbers are 267, 271

We can find the LCM of 267, 271 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 267 and 271

Multiples of 267 =267,534,801,1068,1335,1602,1869,2136,2403,2670,2937,3204,3471,3738,4005,4272,4539,

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 267, 271 which is 72357

So, the LCM of 267, 271 is 72357.

One method for determining the LCM of 267 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 267's prime factorization:

Prime factors of 267 are 3,89.

267 = 3¹×89¹

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: 3,89,271

3¹×89¹×271¹ = 72357

This shows that the LCM of 267 and 271 is 72357.

The first step in determining the Least Common Multiple of 267 and 271 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 267 and 271:

Lets look at the first ten multiples of these numbers, 267 and 271:

267,534,801,1068,1335,1602,1869,2136,2403,4539 are the first ten multiples of 267.

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 267 and 271, for example, are 3204, 4539, and 4336. 72357 is the least common multiple since it is the smallest.

267 and 271 have an LCM of 72357.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 267 and 271, than apply into the LCM equation.

GCF(267,271) = 1
LCM(267,271) = ( 267 × 271) / 1
LCM(267,271) = 72357 / 1
LCM(267,271) = 72357

1. What is the LCM of 267 and 271?

The LCM of 267 and 271 is 72357.

2. How to find the lowest common multiple of 267 and 271?

To find the lowest common multiple of 267 and 271, we have to get the multip;es of both numbers and identify the least common multiple in them which is 72357.

3. What are the Factors of 267?

Answer: Factors of 267 are 1, 3, 89, 267. There are 4 integers that are factors of 267. The greatest factor of 267 is 267.

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 267 and 271 = 72357

Step 1: Find the prime factorization of 267

267 = 3 x 89

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 = 72357 = 3 x 89 x 271

Step 4: Therefore, the least common multiple of 267 and 271 is 72357.