Given Numbers are 82, 84

We can find the LCM of 82, 84 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 82 and 84

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

Multiples of 84 =84,168,252,336,420,504,588,672,756,840,924,1008,1092,1176,1260,1344,1428,

Now, get the least common multiple of 82, 84 which is 3444

So, the LCM of 82, 84 is 3444.

One method for determining the LCM of 82 and 84 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 84's prime factorization:

Prime factors of 84 are 2, 3,7.

84 = 2²×3¹×7¹

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, 3,7

2²×3¹×7¹×41¹ = 3444

This shows that the LCM of 82 and 84 is 3444.

The first step in determining the Least Common Multiple of 82 and 84 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 82 and 84:

Lets look at the first ten multiples of these numbers, 82 and 84:

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

84,168,252,336,420,504,588,672,756,1428 are the first ten multiples of 84.

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 84, for example, are 984, 1394, and 1344. 3444 is the least common multiple since it is the smallest.

82 and 84 have an LCM of 3444.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82 and 84, than apply into the LCM equation.

GCF(82,84) = 2
LCM(82,84) = ( 82 × 84) / 2
LCM(82,84) = 6888 / 2
LCM(82,84) = 3444

1. What is the LCM of 82 and 84?

The LCM of 82 and 84 is 3444.

2. How to find the lowest common multiple of 82 and 84?

To find the lowest common multiple of 82 and 84, we have to get the multip;es of both numbers and identify the least common multiple in them which is 3444.

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 84?

Answer: Factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. There are 12 integers that are factors of 84. The greatest factor of 84 is 84.

Answer:

Least Common Multiple of 82 and 84 = 3444

Step 1: Find the prime factorization of 82

82 = 2 x 41

Step 2: Find the prime factorization of 84

84 = 2 x 2 x 3 x 7

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

LCM = 3444 = 2 x 2 x 3 x 7 x 41

Step 4: Therefore, the least common multiple of 82 and 84 is 3444.