Given Numbers are 82, 83

We can find the LCM of 82, 83 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 82 and 83

Multiples of 82 =82,164,246,328,410,492,574,656,738,820,902,984,1066,1148,1230,1312,1394,

Multiples of 83 =83,166,249,332,415,498,581,664,747,830,913,996,1079,1162,1245,1328,1411,

Now, get the least common multiple of 82, 83 which is 6806

So, the LCM of 82, 83 is 6806.

One method for determining the LCM of 82 and 83 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 82's prime factorization:

Prime factors of 82 are 2,41.

82 = 2¹×41¹

And this is 83's prime factorization:

Prime factors of 83 are 83.

83 = 83¹

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: 2,41,83

2¹×41¹×83¹ = 6806

This shows that the LCM of 82 and 83 is 6806.

The first step in determining the Least Common Multiple of 82 and 83 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 82 and 83:

Lets look at the first ten multiples of these numbers, 82 and 83:

82,164,246,328,410,492,574,656,738,1394 are the first ten multiples of 82.

83,166,249,332,415,498,581,664,747,1411 are the first ten multiples of 83.

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 82 and 83, for example, are 984, 1394, and 1328. 6806 is the least common multiple since it is the smallest.

82 and 83 have an LCM of 6806.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82 and 83, than apply into the LCM equation.

GCF(82,83) = 1
LCM(82,83) = ( 82 × 83) / 1
LCM(82,83) = 6806 / 1
LCM(82,83) = 6806

1. What is the LCM of 82 and 83?

The LCM of 82 and 83 is 6806.

2. How to find the lowest common multiple of 82 and 83?

To find the lowest common multiple of 82 and 83, we have to get the multip;es of both numbers and identify the least common multiple in them which is 6806.

3. What are the Factors of 82?

Answer: Factors of 82 are 1, 2, 41, 82. There are 4 integers that are factors of 82. The greatest factor of 82 is 82.

4. What are the Factors of 83?

Answer: Factors of 83 are 1, 83. There are 2 integers that are factors of 83. The greatest factor of 83 is 83.

Answer:

Least Common Multiple of 82 and 83 = 6806

Step 1: Find the prime factorization of 82

82 = 2 x 41

Step 2: Find the prime factorization of 83

83 = 83

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

LCM = 6806 = 2 x 41 x 83

Step 4: Therefore, the least common multiple of 82 and 83 is 6806.