Given Numbers are 367, 373

We can find the LCM of 367, 373 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 367 and 373

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

Multiples of 373 =373,746,1119,1492,1865,2238,2611,2984,3357,3730,4103,4476,4849,5222,5595,5968,6341,

Now, get the least common multiple of 367, 373 which is 136891

So, the LCM of 367, 373 is 136891.

One method for determining the LCM of 367 and 373 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 367's prime factorization:

Prime factors of 367 are 367.

367 = 367¹

And this is 373's prime factorization:

Prime factors of 373 are 373.

373 = 373¹

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:367,373

367¹×373¹ = 136891

This shows that the LCM of 367 and 373 is 136891.

The first step in determining the Least Common Multiple of 367 and 373 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 367 and 373:

Lets look at the first ten multiples of these numbers, 367 and 373:

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

373,746,1119,1492,1865,2238,2611,2984,3357,6341 are the first ten multiples of 373.

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 367 and 373, for example, are 4404, 6239, and 5968. 136891 is the least common multiple since it is the smallest.

367 and 373 have an LCM of 136891.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 367 and 373, than apply into the LCM equation.

GCF(367,373) = 1
LCM(367,373) = ( 367 × 373) / 1
LCM(367,373) = 136891 / 1
LCM(367,373) = 136891

1. What is the LCM of 367 and 373?

The LCM of 367 and 373 is 136891.

2. How to find the lowest common multiple of 367 and 373?

To find the lowest common multiple of 367 and 373, we have to get the multip;es of both numbers and identify the least common multiple in them which is 136891.

3. 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.

4. What are the Factors of 373?

Answer: Factors of 373 are 1, 373. There are 2 integers that are factors of 373. The greatest factor of 373 is 373.

Answer:

Least Common Multiple of 367 and 373 = 136891

Step 1: Find the prime factorization of 367

367 = 367

Step 2: Find the prime factorization of 373

373 = 373

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

LCM = 136891 = 367 x 373

Step 4: Therefore, the least common multiple of 367 and 373 is 136891.