Given Numbers are 362, 367

We can find the LCM of 362, 367 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 362 and 367

Multiples of 362 =362,724,1086,1448,1810,2172,2534,2896,3258,3620,3982,4344,4706,5068,5430,5792,6154,

Multiples of 367 =367,734,1101,1468,1835,2202,2569,2936,3303,3670,4037,4404,4771,5138,5505,5872,6239,

Now, get the least common multiple of 362, 367 which is 132854

So, the LCM of 362, 367 is 132854.

One method for determining the LCM of 362 and 367 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 362's prime factorization:

Prime factors of 362 are 2,181.

362 = 2¹×181¹

And this is 367's prime factorization:

Prime factors of 367 are 367.

367 = 367¹

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: 2,181,367

2¹×181¹×367¹ = 132854

This shows that the LCM of 362 and 367 is 132854.

The first step in determining the Least Common Multiple of 362 and 367 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 362 and 367:

Lets look at the first ten multiples of these numbers, 362 and 367:

362,724,1086,1448,1810,2172,2534,2896,3258,6154 are the first ten multiples of 362.

367,734,1101,1468,1835,2202,2569,2936,3303,6239 are the first ten multiples of 367.

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 362 and 367, for example, are 4344, 6154, and 5872. 132854 is the least common multiple since it is the smallest.

362 and 367 have an LCM of 132854.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 362 and 367, than apply into the LCM equation.

GCF(362,367) = 1
LCM(362,367) = ( 362 × 367) / 1
LCM(362,367) = 132854 / 1
LCM(362,367) = 132854

1. What is the LCM of 362 and 367?

The LCM of 362 and 367 is 132854.

2. How to find the lowest common multiple of 362 and 367?

To find the lowest common multiple of 362 and 367, we have to get the multip;es of both numbers and identify the least common multiple in them which is 132854.

3. What are the Factors of 362?

Answer: Factors of 362 are 1, 2, 181, 362. There are 4 integers that are factors of 362. The greatest factor of 362 is 362.

4. What are the Factors of 367?

Answer: Factors of 367 are 1, 367. There are 2 integers that are factors of 367. The greatest factor of 367 is 367.

Answer:

Least Common Multiple of 362 and 367 = 132854

Step 1: Find the prime factorization of 362

362 = 2 x 181

Step 2: Find the prime factorization of 367

367 = 367

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

LCM = 132854 = 2 x 181 x 367

Step 4: Therefore, the least common multiple of 362 and 367 is 132854.