Given Numbers are 266, 272

We can find the LCM of 266, 272 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 266 and 272

Multiples of 266 =266,532,798,1064,1330,1596,1862,2128,2394,2660,2926,3192,3458,3724,3990,4256,4522,

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

Now, get the least common multiple of 266, 272 which is 36176

So, the LCM of 266, 272 is 36176.

One method for determining the LCM of 266 and 272 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 266's prime factorization:

Prime factors of 266 are 2, 7,19.

266 = 2¹×7¹×19¹

And this is 272's prime factorization:

Prime factors of 272 are 2,17.

272 = 2⁴×17¹

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, 7,19,17

2⁴×7¹×17¹×19¹ = 36176

This shows that the LCM of 266 and 272 is 36176.

The first step in determining the Least Common Multiple of 266 and 272 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 266 and 272:

Lets look at the first ten multiples of these numbers, 266 and 272:

266,532,798,1064,1330,1596,1862,2128,2394,4522 are the first ten multiples of 266.

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

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 266 and 272, for example, are 3192, 4522, and 4352. 36176 is the least common multiple since it is the smallest.

266 and 272 have an LCM of 36176.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 266 and 272, than apply into the LCM equation.

GCF(266,272) = 2
LCM(266,272) = ( 266 × 272) / 2
LCM(266,272) = 72352 / 2
LCM(266,272) = 36176

1. What is the LCM of 266 and 272?

The LCM of 266 and 272 is 36176.

2. How to find the lowest common multiple of 266 and 272?

To find the lowest common multiple of 266 and 272, we have to get the multip;es of both numbers and identify the least common multiple in them which is 36176.

3. What are the Factors of 266?

Answer: Factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266. There are 8 integers that are factors of 266. The greatest factor of 266 is 266.

4. 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.

Answer:

Least Common Multiple of 266 and 272 = 36176

Step 1: Find the prime factorization of 266

266 = 2 x 7 x 19

Step 2: Find the prime factorization of 272

272 = 2 x 2 x 2 x 2 x 17

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

LCM = 36176 = 2 x 2 x 2 x 2 x 7 x 17 x 19

Step 4: Therefore, the least common multiple of 266 and 272 is 36176.