Given Numbers are 271, 277

We can find the LCM of 271, 277 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 271 and 277

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

Multiples of 277 =277,554,831,1108,1385,1662,1939,2216,2493,2770,3047,3324,3601,3878,4155,4432,4709,

Now, get the least common multiple of 271, 277 which is 75067

So, the LCM of 271, 277 is 75067.

One method for determining the LCM of 271 and 277 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 271's prime factorization:

Prime factors of 271 are 271.

271 = 271¹

And this is 277's prime factorization:

Prime factors of 277 are 277.

277 = 277¹

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:271,277

271¹×277¹ = 75067

This shows that the LCM of 271 and 277 is 75067.

The first step in determining the Least Common Multiple of 271 and 277 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 271 and 277:

Lets look at the first ten multiples of these numbers, 271 and 277:

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

277,554,831,1108,1385,1662,1939,2216,2493,4709 are the first ten multiples of 277.

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 271 and 277, for example, are 3252, 4607, and 4432. 75067 is the least common multiple since it is the smallest.

271 and 277 have an LCM of 75067.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 271 and 277, than apply into the LCM equation.

GCF(271,277) = 1
LCM(271,277) = ( 271 × 277) / 1
LCM(271,277) = 75067 / 1
LCM(271,277) = 75067

1. What is the LCM of 271 and 277?

The LCM of 271 and 277 is 75067.

2. How to find the lowest common multiple of 271 and 277?

To find the lowest common multiple of 271 and 277, we have to get the multip;es of both numbers and identify the least common multiple in them which is 75067.

3. 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.

4. What are the Factors of 277?

Answer: Factors of 277 are 1, 277. There are 2 integers that are factors of 277. The greatest factor of 277 is 277.

Answer:

Least Common Multiple of 271 and 277 = 75067

Step 1: Find the prime factorization of 271

271 = 271

Step 2: Find the prime factorization of 277

277 = 277

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

LCM = 75067 = 271 x 277

Step 4: Therefore, the least common multiple of 271 and 277 is 75067.