Given Numbers are 86, 93

We can find the LCM of 86, 93 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 86 and 93

Multiples of 86 =86,172,258,344,430,516,602,688,774,860,946,1032,1118,1204,1290,1376,1462,

Multiples of 93 =93,186,279,372,465,558,651,744,837,930,1023,1116,1209,1302,1395,1488,1581,

Now, get the least common multiple of 86, 93 which is 7998

So, the LCM of 86, 93 is 7998.

One method for determining the LCM of 86 and 93 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 86's prime factorization:

Prime factors of 86 are 2,43.

86 = 2¹×43¹

And this is 93's prime factorization:

Prime factors of 93 are 3,31.

93 = 3¹×31¹

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: 2,43, 3,31

2¹×3¹×31¹×43¹ = 7998

This shows that the LCM of 86 and 93 is 7998.

The first step in determining the Least Common Multiple of 86 and 93 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 86 and 93:

Lets look at the first ten multiples of these numbers, 86 and 93:

86,172,258,344,430,516,602,688,774,1462 are the first ten multiples of 86.

93,186,279,372,465,558,651,744,837,1581 are the first ten multiples of 93.

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 86 and 93, for example, are 1032, 1462, and 1488. 7998 is the least common multiple since it is the smallest.

86 and 93 have an LCM of 7998.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86 and 93, than apply into the LCM equation.

GCF(86,93) = 1
LCM(86,93) = ( 86 × 93) / 1
LCM(86,93) = 7998 / 1
LCM(86,93) = 7998

1. What is the LCM of 86 and 93?

The LCM of 86 and 93 is 7998.

2. How to find the lowest common multiple of 86 and 93?

To find the lowest common multiple of 86 and 93, we have to get the multip;es of both numbers and identify the least common multiple in them which is 7998.

3. What are the Factors of 86?

Answer: Factors of 86 are 1, 2, 43, 86. There are 4 integers that are factors of 86. The greatest factor of 86 is 86.

4. What are the Factors of 93?

Answer: Factors of 93 are 1, 3, 31, 93. There are 4 integers that are factors of 93. The greatest factor of 93 is 93.

Answer:

Least Common Multiple of 86 and 93 = 7998

Step 1: Find the prime factorization of 86

86 = 2 x 43

Step 2: Find the prime factorization of 93

93 = 3 x 31

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

LCM = 7998 = 2 x 3 x 31 x 43

Step 4: Therefore, the least common multiple of 86 and 93 is 7998.