It is easy to find the LCM of 82 and 88 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 3608 as output. Here you can check the answer for Find the LCM of 82 and 88.
Given Numbers are 82, 88
We can find the LCM of 82, 88 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 82 and 88
Multiples of 82 =82,164,246,328,410,492,574,656,738,820,902,984,1066,1148,1230,1312,1394,
Multiples of 88 =88,176,264,352,440,528,616,704,792,880,968,1056,1144,1232,1320,1408,1496,
Now, get the least common multiple of 82, 88 which is 3608
So, the LCM of 82, 88 is 3608.
One method for determining the LCM of 82 and 88 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 82's prime factorization:2 | 82 |
41 | 41 |
1 |
Prime factors of 82 are 2,41.
82 = 21×411
And this is 88's prime factorization:
2 | 88 |
2 | 44 |
2 | 22 |
11 | 11 |
1 |
Prime factors of 88 are 2,11.
88 = 23×111
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: 2,41,11
.23×111×411 = 3608
This shows that the LCM of 82 and 88 is 3608.
The first step in determining the Least Common Multiple of 82 and 88 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 82 and 88:
Lets look at the first ten multiples of these numbers, 82 and 88:
82,164,246,328,410,492,574,656,738,1394 are the first ten multiples of 82.
88,176,264,352,440,528,616,704,792,1496 are the first ten multiples of 88.
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 82 and 88, for example, are 984, 1394, and 1408. 3608 is the least common multiple since it is the smallest.
82 and 88 have an LCM of 3608.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82 and 88, than apply into the LCM equation.
GCF(82,88) = 2
LCM(82,88) = ( 82 × 88) / 2
LCM(82,88) = 7216 / 2
LCM(82,88) = 3608
1. What is the LCM of 82 and 88?
The LCM of 82 and 88 is 3608.
2. How to find the lowest common multiple of 82 and 88?
To find the lowest common multiple of 82 and 88, we have to get the multip;es of both numbers and identify the least common multiple in them which is 3608.
3. What are the Factors of 82?
Answer: Factors of 82 are 1, 2, 41, 82. There are 4 integers that are factors of 82. The greatest factor of 82 is 82.
4. 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.
5. How to Find the LCM of 82 and 88?Answer:
Least Common Multiple of 82 and 88 = 3608
Step 1: Find the prime factorization of 82
82 = 2 x 41
Step 2: Find the prime factorization of 88
88 = 2 x 2 x 2 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3608 = 2 x 2 x 2 x 11 x 41
Step 4: Therefore, the least common multiple of 82 and 88 is 3608.