Given Numbers are 272, 277

We can find the LCM of 272, 277 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 272 and 277

Multiples of 272 =272,544,816,1088,1360,1632,1904,2176,2448,2720,2992,3264,3536,3808,4080,4352,4624,

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 272, 277 which is 75344

So, the LCM of 272, 277 is 75344.

One method for determining the LCM of 272 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 272's prime factorization:

Prime factors of 272 are 2,17.

272 = 2⁴×17¹

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: 2,17,277

2⁴×17¹×277¹ = 75344

This shows that the LCM of 272 and 277 is 75344.

The first step in determining the Least Common Multiple of 272 and 277 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 272 and 277:

Lets look at the first ten multiples of these numbers, 272 and 277:

272,544,816,1088,1360,1632,1904,2176,2448,4624 are the first ten multiples of 272.

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 272 and 277, for example, are 3264, 4624, and 4432. 75344 is the least common multiple since it is the smallest.

272 and 277 have an LCM of 75344.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 272 and 277, than apply into the LCM equation.

GCF(272,277) = 1
LCM(272,277) = ( 272 × 277) / 1
LCM(272,277) = 75344 / 1
LCM(272,277) = 75344

1. What is the LCM of 272 and 277?

The LCM of 272 and 277 is 75344.

2. How to find the lowest common multiple of 272 and 277?

To find the lowest common multiple of 272 and 277, we have to get the multip;es of both numbers and identify the least common multiple in them which is 75344.

3. What are the Factors of 272?

Answer: Factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272. There are 10 integers that are factors of 272. The greatest factor of 272 is 272.

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 272 and 277 = 75344

Step 1: Find the prime factorization of 272

272 = 2 x 2 x 2 x 2 x 17

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 = 75344 = 2 x 2 x 2 x 2 x 17 x 277

Step 4: Therefore, the least common multiple of 272 and 277 is 75344.