Given Numbers are 94, 101

We can find the LCM of 94, 101 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 94 and 101

Multiples of 94 =94,188,282,376,470,564,658,752,846,940,1034,1128,1222,1316,1410,1504,1598,

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 94, 101 which is 9494

So, the LCM of 94, 101 is 9494.

One method for determining the LCM of 94 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 94's prime factorization:

Prime factors of 94 are 2,47.

94 = 2¹×47¹

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: 2,47,101

2¹×47¹×101¹ = 9494

This shows that the LCM of 94 and 101 is 9494.

The first step in determining the Least Common Multiple of 94 and 101 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 94 and 101:

Lets look at the first ten multiples of these numbers, 94 and 101:

94,188,282,376,470,564,658,752,846,1598 are the first ten multiples of 94.

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 94 and 101, for example, are 1128, 1598, and 1616. 9494 is the least common multiple since it is the smallest.

94 and 101 have an LCM of 9494.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94 and 101, than apply into the LCM equation.

GCF(94,101) = 1
LCM(94,101) = ( 94 × 101) / 1
LCM(94,101) = 9494 / 1
LCM(94,101) = 9494

1. What is the LCM of 94 and 101?

The LCM of 94 and 101 is 9494.

2. How to find the lowest common multiple of 94 and 101?

To find the lowest common multiple of 94 and 101, we have to get the multip;es of both numbers and identify the least common multiple in them which is 9494.

3. What are the Factors of 94?

Answer: Factors of 94 are 1, 2, 47, 94. There are 4 integers that are factors of 94. The greatest factor of 94 is 94.

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 94 and 101 = 9494

Step 1: Find the prime factorization of 94

94 = 2 x 47

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 = 9494 = 2 x 47 x 101

Step 4: Therefore, the least common multiple of 94 and 101 is 9494.