It is easy to find the LCM of 92 and 97 with the help of the handy LCM Calculator. You have to enter 44, and 60 as inputs to avail the LCM 8924 as output. Here you can check the answer for Find the LCM of 92 and 97.
Given Numbers are 92, 97
We can find the LCM of 92, 97 using the brute force method, prime factorization method, or GCD method.
To use brute force method, list the multiples of 92 and 97
Multiples of 92 =92,184,276,368,460,552,644,736,828,920,1012,1104,1196,1288,1380,1472,1564,
Multiples of 97 =97,194,291,388,485,582,679,776,873,970,1067,1164,1261,1358,1455,1552,1649,
Now, get the least common multiple of 92, 97 which is 8924
So, the LCM of 92, 97 is 8924.
One method for determining the LCM of 92 and 97 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 92's prime factorization:2 | 92 |
2 | 46 |
23 | 23 |
1 |
Prime factors of 92 are 2,23.
92 = 22×231
And this is 97's prime factorization:
97 | 97 |
1 |
Prime factors of 97 are 97.
97 = 971
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: 2,23,97
.22×231×971 = 8924
This shows that the LCM of 92 and 97 is 8924.
The first step in determining the Least Common Multiple of 92 and 97 is to generate a list of multiples for each number.
Lets look at the multiples of these two numbers, 92 and 97:
Lets look at the first ten multiples of these numbers, 92 and 97:
92,184,276,368,460,552,644,736,828,1564 are the first ten multiples of 92.
97,194,291,388,485,582,679,776,873,1649 are the first ten multiples of 97.
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 92 and 97, for example, are 1104, 1564, and 1552. 8924 is the least common multiple since it is the smallest.
92 and 97 have an LCM of 8924.
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92 and 97, than apply into the LCM equation.
GCF(92,97) = 1
LCM(92,97) = ( 92 × 97) / 1
LCM(92,97) = 8924 / 1
LCM(92,97) = 8924
1. What is the LCM of 92 and 97?
The LCM of 92 and 97 is 8924.
2. How to find the lowest common multiple of 92 and 97?
To find the lowest common multiple of 92 and 97, we have to get the multip;es of both numbers and identify the least common multiple in them which is 8924.
3. What are the Factors of 92?
Answer: Factors of 92 are 1, 2, 4, 23, 46, 92. There are 6 integers that are factors of 92. The greatest factor of 92 is 92.
4. What are the Factors of 97?
Answer: Factors of 97 are 1, 97. There are 2 integers that are factors of 97. The greatest factor of 97 is 97.
5. How to Find the LCM of 92 and 97?Answer:
Least Common Multiple of 92 and 97 = 8924
Step 1: Find the prime factorization of 92
92 = 2 x 2 x 23
Step 2: Find the prime factorization of 97
97 = 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8924 = 2 x 2 x 23 x 97
Step 4: Therefore, the least common multiple of 92 and 97 is 8924.