It is easy to find the LCM of 87 and 91 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 7917 as output. Here you can check the answer for Find the LCM of 87 and 91.
Given Numbers are 87, 91
We can find the LCM of 87, 91 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 87 and 91
Multiples of 87 =87,174,261,348,435,522,609,696,783,870,957,1044,1131,1218,1305,1392,1479,
Multiples of 91 =91,182,273,364,455,546,637,728,819,910,1001,1092,1183,1274,1365,1456,1547,
Now, get the least common multiple of 87, 91 which is 7917
So, the LCM of 87, 91 is 7917.
One method for determining the LCM of 87 and 91 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 91's prime factorization:
7 | 91 |
13 | 13 |
1 |
Prime factors of 91 are 7,13.
91 = 71×131
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, 7,13
.31×71×131×291 = 7917
This shows that the LCM of 87 and 91 is 7917.
The first step in determining the Least Common Multiple of 87 and 91 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 87 and 91:
Lets look at the first ten multiples of these numbers, 87 and 91:
87,174,261,348,435,522,609,696,783,1479 are the first ten multiples of 87.
91,182,273,364,455,546,637,728,819,1547 are the first ten multiples of 91.
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 91, for example, are 1044, 1479, and 1456. 7917 is the least common multiple since it is the smallest.
87 and 91 have an LCM of 7917.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87 and 91, than apply into the LCM equation.
GCF(87,91) = 1
LCM(87,91) = ( 87 × 91) / 1
LCM(87,91) = 7917 / 1
LCM(87,91) = 7917
1. What is the LCM of 87 and 91?
The LCM of 87 and 91 is 7917.
2. How to find the lowest common multiple of 87 and 91?
To find the lowest common multiple of 87 and 91, we have to get the multip;es of both numbers and identify the least common multiple in them which is 7917.
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 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.
5. How to Find the LCM of 87 and 91?Answer:
Least Common Multiple of 87 and 91 = 7917
Step 1: Find the prime factorization of 87
87 = 3 x 29
Step 2: Find the prime factorization of 91
91 = 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7917 = 3 x 7 x 13 x 29
Step 4: Therefore, the least common multiple of 87 and 91 is 7917.