Given Numbers are 277, 281

We can find the LCM of 277, 281 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 277 and 281

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

Multiples of 281 =281,562,843,1124,1405,1686,1967,2248,2529,2810,3091,3372,3653,3934,4215,4496,4777,

Now, get the least common multiple of 277, 281 which is 77837

So, the LCM of 277, 281 is 77837.

One method for determining the LCM of 277 and 281 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 277's prime factorization:

Prime factors of 277 are 277.

277 = 277¹

And this is 281's prime factorization:

Prime factors of 281 are 281.

281 = 281¹

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:277,281

277¹×281¹ = 77837

This shows that the LCM of 277 and 281 is 77837.

The first step in determining the Least Common Multiple of 277 and 281 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 277 and 281:

Lets look at the first ten multiples of these numbers, 277 and 281:

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

281,562,843,1124,1405,1686,1967,2248,2529,4777 are the first ten multiples of 281.

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 277 and 281, for example, are 3324, 4709, and 4496. 77837 is the least common multiple since it is the smallest.

277 and 281 have an LCM of 77837.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 277 and 281, than apply into the LCM equation.

GCF(277,281) = 1
LCM(277,281) = ( 277 × 281) / 1
LCM(277,281) = 77837 / 1
LCM(277,281) = 77837

1. What is the LCM of 277 and 281?

The LCM of 277 and 281 is 77837.

2. How to find the lowest common multiple of 277 and 281?

To find the lowest common multiple of 277 and 281, we have to get the multip;es of both numbers and identify the least common multiple in them which is 77837.

3. 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.

4. What are the Factors of 281?

Answer: Factors of 281 are 1, 281. There are 2 integers that are factors of 281. The greatest factor of 281 is 281.

Answer:

Least Common Multiple of 277 and 281 = 77837

Step 1: Find the prime factorization of 277

277 = 277

Step 2: Find the prime factorization of 281

281 = 281

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

LCM = 77837 = 277 x 281

Step 4: Therefore, the least common multiple of 277 and 281 is 77837.