Given Numbers are 89, 93

We can find the LCM of 89, 93 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 89 and 93

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

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 89, 93 which is 8277

So, the LCM of 89, 93 is 8277.

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

Prime factors of 89 are 89.

89 = 89¹

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:89, 3,31

3¹×31¹×89¹ = 8277

This shows that the LCM of 89 and 93 is 8277.

The first step in determining the Least Common Multiple of 89 and 93 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 89 and 93:

Lets look at the first ten multiples of these numbers, 89 and 93:

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

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 89 and 93, for example, are 1068, 1513, and 1488. 8277 is the least common multiple since it is the smallest.

89 and 93 have an LCM of 8277.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89 and 93, than apply into the LCM equation.

GCF(89,93) = 1
LCM(89,93) = ( 89 × 93) / 1
LCM(89,93) = 8277 / 1
LCM(89,93) = 8277

1. What is the LCM of 89 and 93?

The LCM of 89 and 93 is 8277.

2. How to find the lowest common multiple of 89 and 93?

To find the lowest common multiple of 89 and 93, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8277.

3. 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.

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 89 and 93 = 8277

Step 1: Find the prime factorization of 89

89 = 89

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 = 8277 = 3 x 31 x 89

Step 4: Therefore, the least common multiple of 89 and 93 is 8277.