Given Numbers are 97, 101

We can find the LCM of 97, 101 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 97 and 101

Multiples of 97 =97,194,291,388,485,582,679,776,873,970,1067,1164,1261,1358,1455,1552,1649,

Multiples of 101 =101,202,303,404,505,606,707,808,909,1010,1111,1212,1313,1414,1515,1616,1717,

Now, get the least common multiple of 97, 101 which is 9797

So, the LCM of 97, 101 is 9797.

One method for determining the LCM of 97 and 101 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 97's prime factorization:

Prime factors of 97 are 97.

97 = 97¹

And this is 101's prime factorization:

Prime factors of 101 are 101.

101 = 101¹

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:97,101

97¹×101¹ = 9797

This shows that the LCM of 97 and 101 is 9797.

The first step in determining the Least Common Multiple of 97 and 101 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 97 and 101:

Lets look at the first ten multiples of these numbers, 97 and 101:

97,194,291,388,485,582,679,776,873,1649 are the first ten multiples of 97.

101,202,303,404,505,606,707,808,909,1717 are the first ten multiples of 101.

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 97 and 101, for example, are 1164, 1649, and 1616. 9797 is the least common multiple since it is the smallest.

97 and 101 have an LCM of 9797.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97 and 101, than apply into the LCM equation.

GCF(97,101) = 1
LCM(97,101) = ( 97 × 101) / 1
LCM(97,101) = 9797 / 1
LCM(97,101) = 9797

1. What is the LCM of 97 and 101?

The LCM of 97 and 101 is 9797.

2. How to find the lowest common multiple of 97 and 101?

To find the lowest common multiple of 97 and 101, we have to get the multip;es of both numbers and identify the least common multiple in them which is 9797.

3. 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.

4. What are the Factors of 101?

Answer: Factors of 101 are 1, 101. There are 2 integers that are factors of 101. The greatest factor of 101 is 101.

Answer:

Least Common Multiple of 97 and 101 = 9797

Step 1: Find the prime factorization of 97

97 = 97

Step 2: Find the prime factorization of 101

101 = 101

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 9797 = 97 x 101

Step 4: Therefore, the least common multiple of 97 and 101 is 9797.