LCM of 82 and 85
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 82 and 85 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 6970 as output. Here you can check the answer for Find the LCM of 82 and 85.
What is LCM of 82 and 85
Given Numbers are 82, 85
We can find the LCM of 82, 85 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 82 and 85
Multiples of 82 =82,164,246,328,410,492,574,656,738,820,902,984,1066,1148,1230,1312,1394,
Multiples of 85 =85,170,255,340,425,510,595,680,765,850,935,1020,1105,1190,1275,1360,1445,
Now, get the least common multiple of 82, 85 which is 6970
So, the LCM of 82, 85 is 6970.
Least Common Multiple (LCM) of 82 and 85 with the help of Prime Factorisation
One method for determining the LCM of 82 and 85 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 85's prime factorization:
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 85 are 5,17.
85 = 51×171
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, 5,17
.21×51×171×411 = 6970
This shows that the LCM of 82 and 85 is 6970.
How to Calculate the LCM of 82 and 85 Using Common Multiples
The first step in determining the Least Common Multiple of 82 and 85 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 82 and 85:
Lets look at the first ten multiples of these numbers, 82 and 85:
82,164,246,328,410,492,574,656,738,1394 are the first ten multiples of 82.
85,170,255,340,425,510,595,680,765,1445 are the first ten multiples of 85.
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 85, for example, are 984, 1394, and 1360. 6970 is the least common multiple since it is the smallest.
82 and 85 have an LCM of 6970.
Least Common Multiple of 82 and 85 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82 and 85, than apply into the LCM equation.
GCF(82,85) = 1
LCM(82,85) = ( 82 × 85) / 1
LCM(82,85) = 6970 / 1
LCM(82,85) = 6970
Related Least Common Multiples of 82
Related Least Common Multiples of 85
Frequently Asked Questions on LCM of 82 and 85
1. What is the LCM of 82 and 85?
The LCM of 82 and 85 is 6970.
2. How to find the lowest common multiple of 82 and 85?
To find the lowest common multiple of 82 and 85, we have to get the multip;es of both numbers and identify the least common multiple in them which is 6970.
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 85?
Answer: Factors of 85 are 1, 5, 17, 85. There are 4 integers that are factors of 85. The greatest factor of 85 is 85.
5. How to Find the LCM of 82 and 85?Answer:
Least Common Multiple of 82 and 85 = 6970
Step 1: Find the prime factorization of 82
82 = 2 x 41
Step 2: Find the prime factorization of 85
85 = 5 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6970 = 2 x 5 x 17 x 41
Step 4: Therefore, the least common multiple of 82 and 85 is 6970.