LCM of 93 and 99
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
It is easy to find the LCM of 93 and 99 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 3069 as output. Here you can check the answer for Find the LCM of 93 and 99.
What is LCM of 93 and 99
Given Numbers are 93, 99
We can find the LCM of 93, 99 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 93 and 99
Multiples of 93 =93,186,279,372,465,558,651,744,837,930,1023,1116,1209,1302,1395,1488,1581,
Multiples of 99 =99,198,297,396,495,594,693,792,891,990,1089,1188,1287,1386,1485,1584,1683,
Now, get the least common multiple of 93, 99 which is 3069
So, the LCM of 93, 99 is 3069.
Least Common Multiple (LCM) of 93 and 99 with the help of Prime Factorisation
One method for determining the LCM of 93 and 99 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 93's prime factorization:
| 3 | 93 |
| 31 | 31 |
| 1 |
Prime factors of 93 are 3,31.
93 = 31×311
And this is 99's prime factorization:
| 3 | 99 |
| 3 | 33 |
| 11 | 11 |
| 1 |
Prime factors of 99 are 3,11.
99 = 32×111
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: 3,31,11
.32×111×311 = 3069
This shows that the LCM of 93 and 99 is 3069.
How to Calculate the LCM of 93 and 99 Using Common Multiples
The first step in determining the Least Common Multiple of 93 and 99 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 93 and 99:
Lets look at the first ten multiples of these numbers, 93 and 99:
93,186,279,372,465,558,651,744,837,1581 are the first ten multiples of 93.
99,198,297,396,495,594,693,792,891,1683 are the first ten multiples of 99.
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 93 and 99, for example, are 1116, 1581, and 1584. 3069 is the least common multiple since it is the smallest.
93 and 99 have an LCM of 3069.
Least Common Multiple of 93 and 99 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93 and 99, than apply into the LCM equation.
GCF(93,99) = 3
LCM(93,99) = ( 93 × 99) / 3
LCM(93,99) = 9207 / 3
LCM(93,99) = 3069
Related Least Common Multiples of 93
Related Least Common Multiples of 99
Frequently Asked Questions on LCM of 93 and 99
1. What is the LCM of 93 and 99?
The LCM of 93 and 99 is 3069.
2. How to find the lowest common multiple of 93 and 99?
To find the lowest common multiple of 93 and 99, we have to get the multip;es of both numbers and identify the least common multiple in them which is 3069.
3. 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.
4. What are the Factors of 99?
Answer: Factors of 99 are 1, 3, 9, 11, 33, 99. There are 6 integers that are factors of 99. The greatest factor of 99 is 99.
5. How to Find the LCM of 93 and 99?Answer:
Least Common Multiple of 93 and 99 = 3069
Step 1: Find the prime factorization of 93
93 = 3 x 31
Step 2: Find the prime factorization of 99
99 = 3 x 3 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 = 3069 = 3 x 3 x 11 x 31
Step 4: Therefore, the least common multiple of 93 and 99 is 3069.