Given Numbers are 77, 83

We can find the LCM of 77, 83 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 77 and 83

Multiples of 77 =77,154,231,308,385,462,539,616,693,770,847,924,1001,1078,1155,1232,1309,

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 77, 83 which is 6391

So, the LCM of 77, 83 is 6391.

One method for determining the LCM of 77 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 77's prime factorization:

Prime factors of 77 are 7,11.

77 = 7¹×11¹

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: 7,11,83

7¹×11¹×83¹ = 6391

This shows that the LCM of 77 and 83 is 6391.

The first step in determining the Least Common Multiple of 77 and 83 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 77 and 83:

Lets look at the first ten multiples of these numbers, 77 and 83:

77,154,231,308,385,462,539,616,693,1309 are the first ten multiples of 77.

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 77 and 83, for example, are 924, 1309, and 1328. 6391 is the least common multiple since it is the smallest.

77 and 83 have an LCM of 6391.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77 and 83, than apply into the LCM equation.

GCF(77,83) = 1
LCM(77,83) = ( 77 × 83) / 1
LCM(77,83) = 6391 / 1
LCM(77,83) = 6391

1. What is the LCM of 77 and 83?

The LCM of 77 and 83 is 6391.

2. How to find the lowest common multiple of 77 and 83?

To find the lowest common multiple of 77 and 83, we have to get the multip;es of both numbers and identify the least common multiple in them which is 6391.

3. What are the Factors of 77?

Answer: Factors of 77 are 1, 7, 11, 77. There are 4 integers that are factors of 77. The greatest factor of 77 is 77.

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 77 and 83 = 6391

Step 1: Find the prime factorization of 77

77 = 7 x 11

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 = 6391 = 7 x 11 x 83

Step 4: Therefore, the least common multiple of 77 and 83 is 6391.