Given Numbers are 82, 89

We can find the LCM of 82, 89 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 82 and 89

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

Multiples of 89 =89,178,267,356,445,534,623,712,801,890,979,1068,1157,1246,1335,1424,1513,

Now, get the least common multiple of 82, 89 which is 7298

So, the LCM of 82, 89 is 7298.

One method for determining the LCM of 82 and 89 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 89's prime factorization:

Prime factors of 89 are 89.

89 = 89¹

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: 2,41,89

2¹×41¹×89¹ = 7298

This shows that the LCM of 82 and 89 is 7298.

The first step in determining the Least Common Multiple of 82 and 89 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 82 and 89:

Lets look at the first ten multiples of these numbers, 82 and 89:

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

89,178,267,356,445,534,623,712,801,1513 are the first ten multiples of 89.

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 89, for example, are 984, 1394, and 1424. 7298 is the least common multiple since it is the smallest.

82 and 89 have an LCM of 7298.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82 and 89, than apply into the LCM equation.

GCF(82,89) = 1
LCM(82,89) = ( 82 × 89) / 1
LCM(82,89) = 7298 / 1
LCM(82,89) = 7298

1. What is the LCM of 82 and 89?

The LCM of 82 and 89 is 7298.

2. How to find the lowest common multiple of 82 and 89?

To find the lowest common multiple of 82 and 89, we have to get the multip;es of both numbers and identify the least common multiple in them which is 7298.

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 89?

Answer: Factors of 89 are 1, 89. There are 2 integers that are factors of 89. The greatest factor of 89 is 89.

Answer:

Least Common Multiple of 82 and 89 = 7298

Step 1: Find the prime factorization of 82

82 = 2 x 41

Step 2: Find the prime factorization of 89

89 = 89

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

LCM = 7298 = 2 x 41 x 89

Step 4: Therefore, the least common multiple of 82 and 89 is 7298.