It is easy to find the LCM of 88 and 96 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 1056 as output. Here you can check the answer for Find the LCM of 88 and 96.
Given Numbers are 88, 96
We can find the LCM of 88, 96 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 88 and 96
Multiples of 88 =88,176,264,352,440,528,616,704,792,880,968,1056,1144,1232,1320,1408,1496,
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 88, 96 which is 1056
So, the LCM of 88, 96 is 1056.
One method for determining the LCM of 88 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 88's prime factorization:2 | 88 |
2 | 44 |
2 | 22 |
11 | 11 |
1 |
Prime factors of 88 are 2,11.
88 = 23×111
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: 2,11,3
.25×31×111 = 1056
This shows that the LCM of 88 and 96 is 1056.
The first step in determining the Least Common Multiple of 88 and 96 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 88 and 96:
Lets look at the first ten multiples of these numbers, 88 and 96:
88,176,264,352,440,528,616,704,792,1496 are the first ten multiples of 88.
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 88 and 96, for example, are 1056, 1496, and 1536. 1056 is the least common multiple since it is the smallest.
88 and 96 have an LCM of 1056.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88 and 96, than apply into the LCM equation.
GCF(88,96) = 8
LCM(88,96) = ( 88 × 96) / 8
LCM(88,96) = 8448 / 8
LCM(88,96) = 1056
1. What is the LCM of 88 and 96?
The LCM of 88 and 96 is 1056.
2. How to find the lowest common multiple of 88 and 96?
To find the lowest common multiple of 88 and 96, we have to get the multip;es of both numbers and identify the least common multiple in them which is 1056.
3. What are the Factors of 88?
Answer: Factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88. There are 8 integers that are factors of 88. The greatest factor of 88 is 88.
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 88 and 96?Answer:
Least Common Multiple of 88 and 96 = 1056
Step 1: Find the prime factorization of 88
88 = 2 x 2 x 2 x 11
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 = 1056 = 2 x 2 x 2 x 2 x 2 x 3 x 11
Step 4: Therefore, the least common multiple of 88 and 96 is 1056.