Given Numbers are 262, 266

We can find the LCM of 262, 266 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 262 and 266

Multiples of 262 =262,524,786,1048,1310,1572,1834,2096,2358,2620,2882,3144,3406,3668,3930,4192,4454,

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

Now, get the least common multiple of 262, 266 which is 34846

So, the LCM of 262, 266 is 34846.

One method for determining the LCM of 262 and 266 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 262's prime factorization:

Prime factors of 262 are 2,131.

262 = 2¹×131¹

And this is 266's prime factorization:

Prime factors of 266 are 2, 7,19.

266 = 2¹×7¹×19¹

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: 2,131, 7,19

2¹×7¹×19¹×131¹ = 34846

This shows that the LCM of 262 and 266 is 34846.

The first step in determining the Least Common Multiple of 262 and 266 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 262 and 266:

Lets look at the first ten multiples of these numbers, 262 and 266:

262,524,786,1048,1310,1572,1834,2096,2358,4454 are the first ten multiples of 262.

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

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 262 and 266, for example, are 3144, 4454, and 4256. 34846 is the least common multiple since it is the smallest.

262 and 266 have an LCM of 34846.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 262 and 266, than apply into the LCM equation.

GCF(262,266) = 2
LCM(262,266) = ( 262 × 266) / 2
LCM(262,266) = 69692 / 2
LCM(262,266) = 34846

1. What is the LCM of 262 and 266?

The LCM of 262 and 266 is 34846.

2. How to find the lowest common multiple of 262 and 266?

To find the lowest common multiple of 262 and 266, we have to get the multip;es of both numbers and identify the least common multiple in them which is 34846.

3. What are the Factors of 262?

Answer: Factors of 262 are 1, 2, 131, 262. There are 4 integers that are factors of 262. The greatest factor of 262 is 262.

4. 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.

Answer:

Least Common Multiple of 262 and 266 = 34846

Step 1: Find the prime factorization of 262

262 = 2 x 131

Step 2: Find the prime factorization of 266

266 = 2 x 7 x 19

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

LCM = 34846 = 2 x 7 x 19 x 131

Step 4: Therefore, the least common multiple of 262 and 266 is 34846.