LCM of 85 and 93
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 85 and 93 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 7905 as output. Here you can check the answer for Find the LCM of 85 and 93.
What is LCM of 85 and 93
Given Numbers are 85, 93
We can find the LCM of 85, 93 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 85 and 93
Multiples of 85 =85,170,255,340,425,510,595,680,765,850,935,1020,1105,1190,1275,1360,1445,
Multiples of 93 =93,186,279,372,465,558,651,744,837,930,1023,1116,1209,1302,1395,1488,1581,
Now, get the least common multiple of 85, 93 which is 7905
So, the LCM of 85, 93 is 7905.
Least Common Multiple (LCM) of 85 and 93 with the help of Prime Factorisation
One method for determining the LCM of 85 and 93 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 85's prime factorization:
| 5 | 85 |
| 17 | 17 |
| 1 |
Prime factors of 85 are 5,17.
85 = 51×171
And this is 93's prime factorization:
| 3 | 93 |
| 31 | 31 |
| 1 |
Prime factors of 93 are 3,31.
93 = 31×311
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: 5,17, 3,31
.31×51×171×311 = 7905
This shows that the LCM of 85 and 93 is 7905.
How to Calculate the LCM of 85 and 93 Using Common Multiples
The first step in determining the Least Common Multiple of 85 and 93 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 85 and 93:
Lets look at the first ten multiples of these numbers, 85 and 93:
85,170,255,340,425,510,595,680,765,1445 are the first ten multiples of 85.
93,186,279,372,465,558,651,744,837,1581 are the first ten multiples of 93.
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 85 and 93, for example, are 1020, 1445, and 1488. 7905 is the least common multiple since it is the smallest.
85 and 93 have an LCM of 7905.
Least Common Multiple of 85 and 93 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85 and 93, than apply into the LCM equation.
GCF(85,93) = 1
LCM(85,93) = ( 85 × 93) / 1
LCM(85,93) = 7905 / 1
LCM(85,93) = 7905
Related Least Common Multiples of 85
Related Least Common Multiples of 93
Frequently Asked Questions on LCM of 85 and 93
1. What is the LCM of 85 and 93?
The LCM of 85 and 93 is 7905.
2. How to find the lowest common multiple of 85 and 93?
To find the lowest common multiple of 85 and 93, we have to get the multip;es of both numbers and identify the least common multiple in them which is 7905.
3. 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.
4. What are the Factors of 93?
Answer: Factors of 93 are 1, 3, 31, 93. There are 4 integers that are factors of 93. The greatest factor of 93 is 93.
5. How to Find the LCM of 85 and 93?Answer:
Least Common Multiple of 85 and 93 = 7905
Step 1: Find the prime factorization of 85
85 = 5 x 17
Step 2: Find the prime factorization of 93
93 = 3 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7905 = 3 x 5 x 17 x 31
Step 4: Therefore, the least common multiple of 85 and 93 is 7905.