Given Numbers are 373, 381

We can find the LCM of 373, 381 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 373 and 381

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

Multiples of 381 =381,762,1143,1524,1905,2286,2667,3048,3429,3810,4191,4572,4953,5334,5715,6096,6477,

Now, get the least common multiple of 373, 381 which is 142113

So, the LCM of 373, 381 is 142113.

One method for determining the LCM of 373 and 381 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 373's prime factorization:

Prime factors of 373 are 373.

373 = 373¹

And this is 381's prime factorization:

Prime factors of 381 are 3,127.

381 = 3¹×127¹

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:373, 3,127

3¹×127¹×373¹ = 142113

This shows that the LCM of 373 and 381 is 142113.

The first step in determining the Least Common Multiple of 373 and 381 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 373 and 381:

Lets look at the first ten multiples of these numbers, 373 and 381:

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

381,762,1143,1524,1905,2286,2667,3048,3429,6477 are the first ten multiples of 381.

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 373 and 381, for example, are 4476, 6341, and 6096. 142113 is the least common multiple since it is the smallest.

373 and 381 have an LCM of 142113.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 373 and 381, than apply into the LCM equation.

GCF(373,381) = 1
LCM(373,381) = ( 373 × 381) / 1
LCM(373,381) = 142113 / 1
LCM(373,381) = 142113

1. What is the LCM of 373 and 381?

The LCM of 373 and 381 is 142113.

2. How to find the lowest common multiple of 373 and 381?

To find the lowest common multiple of 373 and 381, we have to get the multip;es of both numbers and identify the least common multiple in them which is 142113.

3. 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.

4. What are the Factors of 381?

Answer: Factors of 381 are 1, 3, 127, 381. There are 4 integers that are factors of 381. The greatest factor of 381 is 381.

Answer:

Least Common Multiple of 373 and 381 = 142113

Step 1: Find the prime factorization of 373

373 = 373

Step 2: Find the prime factorization of 381

381 = 3 x 127

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

LCM = 142113 = 3 x 127 x 373

Step 4: Therefore, the least common multiple of 373 and 381 is 142113.