LCM of 88 and 95
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 88 and 95 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 8360 as output. Here you can check the answer for Find the LCM of 88 and 95.
What is LCM of 88 and 95
Given Numbers are 88, 95
We can find the LCM of 88, 95 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 88 and 95
Multiples of 88 =88,176,264,352,440,528,616,704,792,880,968,1056,1144,1232,1320,1408,1496,
Multiples of 95 =95,190,285,380,475,570,665,760,855,950,1045,1140,1235,1330,1425,1520,1615,
Now, get the least common multiple of 88, 95 which is 8360
So, the LCM of 88, 95 is 8360.
Least Common Multiple (LCM) of 88 and 95 with the help of Prime Factorisation
One method for determining the LCM of 88 and 95 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 95's prime factorization:
| 5 | 95 |
| 19 | 19 |
| 1 |
Prime factors of 95 are 5,19.
95 = 51×191
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, 5,19
.23×51×111×191 = 8360
This shows that the LCM of 88 and 95 is 8360.
How to Calculate the LCM of 88 and 95 Using Common Multiples
The first step in determining the Least Common Multiple of 88 and 95 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 88 and 95:
Lets look at the first ten multiples of these numbers, 88 and 95:
88,176,264,352,440,528,616,704,792,1496 are the first ten multiples of 88.
95,190,285,380,475,570,665,760,855,1615 are the first ten multiples of 95.
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 95, for example, are 1056, 1496, and 1520. 8360 is the least common multiple since it is the smallest.
88 and 95 have an LCM of 8360.
Least Common Multiple of 88 and 95 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88 and 95, than apply into the LCM equation.
GCF(88,95) = 1
LCM(88,95) = ( 88 × 95) / 1
LCM(88,95) = 8360 / 1
LCM(88,95) = 8360
Related Least Common Multiples of 88
Related Least Common Multiples of 95
Frequently Asked Questions on LCM of 88 and 95
1. What is the LCM of 88 and 95?
The LCM of 88 and 95 is 8360.
2. How to find the lowest common multiple of 88 and 95?
To find the lowest common multiple of 88 and 95, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8360.
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 95?
Answer: Factors of 95 are 1, 5, 19, 95. There are 4 integers that are factors of 95. The greatest factor of 95 is 95.
5. How to Find the LCM of 88 and 95?Answer:
Least Common Multiple of 88 and 95 = 8360
Step 1: Find the prime factorization of 88
88 = 2 x 2 x 2 x 11
Step 2: Find the prime factorization of 95
95 = 5 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8360 = 2 x 2 x 2 x 5 x 11 x 19
Step 4: Therefore, the least common multiple of 88 and 95 is 8360.