It is easy to find the LCM of 87 and 93 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 2697 as output. Here you can check the answer for Find the LCM of 87 and 93.
Given Numbers are 87, 93
We can find the LCM of 87, 93 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 87 and 93
Multiples of 87 =87,174,261,348,435,522,609,696,783,870,957,1044,1131,1218,1305,1392,1479,
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 87, 93 which is 2697
So, the LCM of 87, 93 is 2697.
One method for determining the LCM of 87 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 87's prime factorization:3 | 87 |
29 | 29 |
1 |
Prime factors of 87 are 3,29.
87 = 31×291
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: 3,29,31
.31×291×311 = 2697
This shows that the LCM of 87 and 93 is 2697.
The first step in determining the Least Common Multiple of 87 and 93 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 87 and 93:
Lets look at the first ten multiples of these numbers, 87 and 93:
87,174,261,348,435,522,609,696,783,1479 are the first ten multiples of 87.
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 87 and 93, for example, are 1044, 1479, and 1488. 2697 is the least common multiple since it is the smallest.
87 and 93 have an LCM of 2697.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87 and 93, than apply into the LCM equation.
GCF(87,93) = 3
LCM(87,93) = ( 87 × 93) / 3
LCM(87,93) = 8091 / 3
LCM(87,93) = 2697
1. What is the LCM of 87 and 93?
The LCM of 87 and 93 is 2697.
2. How to find the lowest common multiple of 87 and 93?
To find the lowest common multiple of 87 and 93, we have to get the multip;es of both numbers and identify the least common multiple in them which is 2697.
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 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 87 and 93?Answer:
Least Common Multiple of 87 and 93 = 2697
Step 1: Find the prime factorization of 87
87 = 3 x 29
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 = 2697 = 3 x 29 x 31
Step 4: Therefore, the least common multiple of 87 and 93 is 2697.