It is easy to find the LCM of 91 and 99 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 9009 as output. Here you can check the answer for Find the LCM of 91 and 99.
Given Numbers are 91, 99
We can find the LCM of 91, 99 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 91 and 99
Multiples of 91 =91,182,273,364,455,546,637,728,819,910,1001,1092,1183,1274,1365,1456,1547,
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 91, 99 which is 9009
So, the LCM of 91, 99 is 9009.
One method for determining the LCM of 91 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 91's prime factorization:7 | 91 |
13 | 13 |
1 |
Prime factors of 91 are 7,13.
91 = 71×131
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: 7,13, 3,11
.32×71×111×131 = 9009
This shows that the LCM of 91 and 99 is 9009.
The first step in determining the Least Common Multiple of 91 and 99 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 91 and 99:
Lets look at the first ten multiples of these numbers, 91 and 99:
91,182,273,364,455,546,637,728,819,1547 are the first ten multiples of 91.
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 91 and 99, for example, are 1092, 1547, and 1584. 9009 is the least common multiple since it is the smallest.
91 and 99 have an LCM of 9009.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91 and 99, than apply into the LCM equation.
GCF(91,99) = 1
LCM(91,99) = ( 91 × 99) / 1
LCM(91,99) = 9009 / 1
LCM(91,99) = 9009
1. What is the LCM of 91 and 99?
The LCM of 91 and 99 is 9009.
2. How to find the lowest common multiple of 91 and 99?
To find the lowest common multiple of 91 and 99, we have to get the multip;es of both numbers and identify the least common multiple in them which is 9009.
3. What are the Factors of 91?
Answer: Factors of 91 are 1, 7, 13, 91. There are 4 integers that are factors of 91. The greatest factor of 91 is 91.
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 91 and 99?Answer:
Least Common Multiple of 91 and 99 = 9009
Step 1: Find the prime factorization of 91
91 = 7 x 13
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 = 9009 = 3 x 3 x 7 x 11 x 13
Step 4: Therefore, the least common multiple of 91 and 99 is 9009.