Given Numbers are 116, 122

We can find the LCM of 116, 122 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 116 and 122

Multiples of 116 =116,232,348,464,580,696,812,928,1044,1160,1276,1392,1508,1624,1740,1856,1972,

Multiples of 122 =122,244,366,488,610,732,854,976,1098,1220,1342,1464,1586,1708,1830,1952,2074,

Now, get the least common multiple of 116, 122 which is 7076

So, the LCM of 116, 122 is 7076.

One method for determining the LCM of 116 and 122 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 116's prime factorization:

Prime factors of 116 are 2,29.

116 = 2²×29¹

And this is 122's prime factorization:

Prime factors of 122 are 2,61.

122 = 2¹×61¹

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: 2,29,61

2²×29¹×61¹ = 7076

This shows that the LCM of 116 and 122 is 7076.

The first step in determining the Least Common Multiple of 116 and 122 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 116 and 122:

Lets look at the first ten multiples of these numbers, 116 and 122:

116,232,348,464,580,696,812,928,1044,1972 are the first ten multiples of 116.

122,244,366,488,610,732,854,976,1098,2074 are the first ten multiples of 122.

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 116 and 122, for example, are 1392, 1972, and 1952. 7076 is the least common multiple since it is the smallest.

116 and 122 have an LCM of 7076.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 116 and 122, than apply into the LCM equation.

GCF(116,122) = 2
LCM(116,122) = ( 116 × 122) / 2
LCM(116,122) = 14152 / 2
LCM(116,122) = 7076

1. What is the LCM of 116 and 122?

The LCM of 116 and 122 is 7076.

2. How to find the lowest common multiple of 116 and 122?

To find the lowest common multiple of 116 and 122, we have to get the multip;es of both numbers and identify the least common multiple in them which is 7076.

3. What are the Factors of 116?

Answer: Factors of 116 are 1, 2, 4, 29, 58, 116. There are 6 integers that are factors of 116. The greatest factor of 116 is 116.

4. What are the Factors of 122?

Answer: Factors of 122 are 1, 2, 61, 122. There are 4 integers that are factors of 122. The greatest factor of 122 is 122.

Answer:

Least Common Multiple of 116 and 122 = 7076

Step 1: Find the prime factorization of 116

116 = 2 x 2 x 29

Step 2: Find the prime factorization of 122

122 = 2 x 61

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

LCM = 7076 = 2 x 2 x 29 x 61

Step 4: Therefore, the least common multiple of 116 and 122 is 7076.