LCM of 87 and 95
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 87 and 95 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 8265 as output. Here you can check the answer for Find the LCM of 87 and 95.
What is LCM of 87 and 95
Given Numbers are 87, 95
We can find the LCM of 87, 95 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 87 and 95
Multiples of 87 =87,174,261,348,435,522,609,696,783,870,957,1044,1131,1218,1305,1392,1479,
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 87, 95 which is 8265
So, the LCM of 87, 95 is 8265.
Least Common Multiple (LCM) of 87 and 95 with the help of Prime Factorisation
One method for determining the LCM of 87 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 87's prime factorization:
| 3 | 87 |
| 29 | 29 |
| 1 |
Prime factors of 87 are 3,29.
87 = 31×291
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: 3,29, 5,19
.31×51×191×291 = 8265
This shows that the LCM of 87 and 95 is 8265.
How to Calculate the LCM of 87 and 95 Using Common Multiples
The first step in determining the Least Common Multiple of 87 and 95 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 87 and 95:
Lets look at the first ten multiples of these numbers, 87 and 95:
87,174,261,348,435,522,609,696,783,1479 are the first ten multiples of 87.
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 87 and 95, for example, are 1044, 1479, and 1520. 8265 is the least common multiple since it is the smallest.
87 and 95 have an LCM of 8265.
Least Common Multiple of 87 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 87 and 95, than apply into the LCM equation.
GCF(87,95) = 1
LCM(87,95) = ( 87 × 95) / 1
LCM(87,95) = 8265 / 1
LCM(87,95) = 8265
Related Least Common Multiples of 87
Related Least Common Multiples of 95
Frequently Asked Questions on LCM of 87 and 95
1. What is the LCM of 87 and 95?
The LCM of 87 and 95 is 8265.
2. How to find the lowest common multiple of 87 and 95?
To find the lowest common multiple of 87 and 95, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8265.
3. What are the Factors of 87?
Answer: Factors of 87 are 1, 3, 29, 87. There are 4 integers that are factors of 87. The greatest factor of 87 is 87.
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 87 and 95?Answer:
Least Common Multiple of 87 and 95 = 8265
Step 1: Find the prime factorization of 87
87 = 3 x 29
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 = 8265 = 3 x 5 x 19 x 29
Step 4: Therefore, the least common multiple of 87 and 95 is 8265.