Given Numbers are 263, 267

We can find the LCM of 263, 267 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 263 and 267

Multiples of 263 =263,526,789,1052,1315,1578,1841,2104,2367,2630,2893,3156,3419,3682,3945,4208,4471,

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 263, 267 which is 70221

So, the LCM of 263, 267 is 70221.

One method for determining the LCM of 263 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 263's prime factorization:

Prime factors of 263 are 263.

263 = 263¹

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:263, 3,89

3¹×89¹×263¹ = 70221

This shows that the LCM of 263 and 267 is 70221.

The first step in determining the Least Common Multiple of 263 and 267 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 263 and 267:

Lets look at the first ten multiples of these numbers, 263 and 267:

263,526,789,1052,1315,1578,1841,2104,2367,4471 are the first ten multiples of 263.

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 263 and 267, for example, are 3156, 4471, and 4272. 70221 is the least common multiple since it is the smallest.

263 and 267 have an LCM of 70221.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 263 and 267, than apply into the LCM equation.

GCF(263,267) = 1
LCM(263,267) = ( 263 × 267) / 1
LCM(263,267) = 70221 / 1
LCM(263,267) = 70221

1. What is the LCM of 263 and 267?

The LCM of 263 and 267 is 70221.

2. How to find the lowest common multiple of 263 and 267?

To find the lowest common multiple of 263 and 267, we have to get the multip;es of both numbers and identify the least common multiple in them which is 70221.

3. What are the Factors of 263?

Answer: Factors of 263 are 1, 263. There are 2 integers that are factors of 263. The greatest factor of 263 is 263.

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 263 and 267 = 70221

Step 1: Find the prime factorization of 263

263 = 263

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 = 70221 = 3 x 89 x 263

Step 4: Therefore, the least common multiple of 263 and 267 is 70221.