Given Numbers are 262, 267

We can find the LCM of 262, 267 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 262 and 267

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

Multiples of 267 =267,534,801,1068,1335,1602,1869,2136,2403,2670,2937,3204,3471,3738,4005,4272,4539,

Now, get the least common multiple of 262, 267 which is 69954

So, the LCM of 262, 267 is 69954.

One method for determining the LCM of 262 and 267 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 267's prime factorization:

Prime factors of 267 are 3,89.

267 = 3¹×89¹

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, 3,89

2¹×3¹×89¹×131¹ = 69954

This shows that the LCM of 262 and 267 is 69954.

The first step in determining the Least Common Multiple of 262 and 267 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 262 and 267:

Lets look at the first ten multiples of these numbers, 262 and 267:

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

267,534,801,1068,1335,1602,1869,2136,2403,4539 are the first ten multiples of 267.

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 267, for example, are 3144, 4454, and 4272. 69954 is the least common multiple since it is the smallest.

262 and 267 have an LCM of 69954.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 262 and 267, than apply into the LCM equation.

GCF(262,267) = 1
LCM(262,267) = ( 262 × 267) / 1
LCM(262,267) = 69954 / 1
LCM(262,267) = 69954

1. What is the LCM of 262 and 267?

The LCM of 262 and 267 is 69954.

2. How to find the lowest common multiple of 262 and 267?

To find the lowest common multiple of 262 and 267, we have to get the multip;es of both numbers and identify the least common multiple in them which is 69954.

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 267?

Answer: Factors of 267 are 1, 3, 89, 267. There are 4 integers that are factors of 267. The greatest factor of 267 is 267.

Answer:

Least Common Multiple of 262 and 267 = 69954

Step 1: Find the prime factorization of 262

262 = 2 x 131

Step 2: Find the prime factorization of 267

267 = 3 x 89

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

LCM = 69954 = 2 x 3 x 89 x 131

Step 4: Therefore, the least common multiple of 262 and 267 is 69954.