Given Numbers are 83, 89

We can find the LCM of 83, 89 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 83 and 89

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

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 83, 89 which is 7387

So, the LCM of 83, 89 is 7387.

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

Prime factors of 83 are 83.

83 = 83¹

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:83,89

83¹×89¹ = 7387

This shows that the LCM of 83 and 89 is 7387.

The first step in determining the Least Common Multiple of 83 and 89 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 83 and 89:

Lets look at the first ten multiples of these numbers, 83 and 89:

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

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 83 and 89, for example, are 996, 1411, and 1424. 7387 is the least common multiple since it is the smallest.

83 and 89 have an LCM of 7387.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83 and 89, than apply into the LCM equation.

GCF(83,89) = 1
LCM(83,89) = ( 83 × 89) / 1
LCM(83,89) = 7387 / 1
LCM(83,89) = 7387

1. What is the LCM of 83 and 89?

The LCM of 83 and 89 is 7387.

2. How to find the lowest common multiple of 83 and 89?

To find the lowest common multiple of 83 and 89, we have to get the multip;es of both numbers and identify the least common multiple in them which is 7387.

3. 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.

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 83 and 89 = 7387

Step 1: Find the prime factorization of 83

83 = 83

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 = 7387 = 83 x 89

Step 4: Therefore, the least common multiple of 83 and 89 is 7387.