It is easy to find the LCM of 89 and 96 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 8544 as output. Here you can check the answer for Find the LCM of 89 and 96.
Given Numbers are 89, 96
We can find the LCM of 89, 96 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 89 and 96
Multiples of 89 =89,178,267,356,445,534,623,712,801,890,979,1068,1157,1246,1335,1424,1513,
Multiples of 96 =96,192,288,384,480,576,672,768,864,960,1056,1152,1248,1344,1440,1536,1632,
Now, get the least common multiple of 89, 96 which is 8544
So, the LCM of 89, 96 is 8544.
One method for determining the LCM of 89 and 96 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:89 | 89 |
1 |
Prime factors of 89 are 89.
89 = 891
And this is 96's prime factorization:
2 | 96 |
2 | 48 |
2 | 24 |
2 | 12 |
2 | 6 |
3 | 3 |
1 |
Prime factors of 96 are 2,3.
96 = 25×31
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, 2,3
.25×31×891 = 8544
This shows that the LCM of 89 and 96 is 8544.
The first step in determining the Least Common Multiple of 89 and 96 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 89 and 96:
Lets look at the first ten multiples of these numbers, 89 and 96:
89,178,267,356,445,534,623,712,801,1513 are the first ten multiples of 89.
96,192,288,384,480,576,672,768,864,1632 are the first ten multiples of 96.
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 96, for example, are 1068, 1513, and 1536. 8544 is the least common multiple since it is the smallest.
89 and 96 have an LCM of 8544.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89 and 96, than apply into the LCM equation.
GCF(89,96) = 1
LCM(89,96) = ( 89 × 96) / 1
LCM(89,96) = 8544 / 1
LCM(89,96) = 8544
1. What is the LCM of 89 and 96?
The LCM of 89 and 96 is 8544.
2. How to find the lowest common multiple of 89 and 96?
To find the lowest common multiple of 89 and 96, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8544.
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 96?
Answer: Factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. There are 12 integers that are factors of 96. The greatest factor of 96 is 96.
5. How to Find the LCM of 89 and 96?Answer:
Least Common Multiple of 89 and 96 = 8544
Step 1: Find the prime factorization of 89
89 = 89
Step 2: Find the prime factorization of 96
96 = 2 x 2 x 2 x 2 x 2 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8544 = 2 x 2 x 2 x 2 x 2 x 3 x 89
Step 4: Therefore, the least common multiple of 89 and 96 is 8544.