Given Numbers are 79, 84

We can find the LCM of 79, 84 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 79 and 84

Multiples of 79 =79,158,237,316,395,474,553,632,711,790,869,948,1027,1106,1185,1264,1343,

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 79, 84 which is 6636

So, the LCM of 79, 84 is 6636.

One method for determining the LCM of 79 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 79's prime factorization:

Prime factors of 79 are 79.

79 = 79¹

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:79, 2, 3,7

2²×3¹×7¹×79¹ = 6636

This shows that the LCM of 79 and 84 is 6636.

The first step in determining the Least Common Multiple of 79 and 84 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 79 and 84:

Lets look at the first ten multiples of these numbers, 79 and 84:

79,158,237,316,395,474,553,632,711,1343 are the first ten multiples of 79.

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 79 and 84, for example, are 948, 1343, and 1344. 6636 is the least common multiple since it is the smallest.

79 and 84 have an LCM of 6636.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79 and 84, than apply into the LCM equation.

GCF(79,84) = 1
LCM(79,84) = ( 79 × 84) / 1
LCM(79,84) = 6636 / 1
LCM(79,84) = 6636

1. What is the LCM of 79 and 84?

The LCM of 79 and 84 is 6636.

2. How to find the lowest common multiple of 79 and 84?

To find the lowest common multiple of 79 and 84, we have to get the multip;es of both numbers and identify the least common multiple in them which is 6636.

3. What are the Factors of 79?

Answer: Factors of 79 are 1, 79. There are 2 integers that are factors of 79. The greatest factor of 79 is 79.

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 79 and 84 = 6636

Step 1: Find the prime factorization of 79

79 = 79

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 = 6636 = 2 x 2 x 3 x 7 x 79

Step 4: Therefore, the least common multiple of 79 and 84 is 6636.