Given Numbers are 114, 122

We can find the LCM of 114, 122 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 114 and 122

Multiples of 114 =114,228,342,456,570,684,798,912,1026,1140,1254,1368,1482,1596,1710,1824,1938,

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 114, 122 which is 6954

So, the LCM of 114, 122 is 6954.

One method for determining the LCM of 114 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 114's prime factorization:

Prime factors of 114 are 2, 3,19.

114 = 2¹×3¹×19¹

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, 3,19,61

2¹×3¹×19¹×61¹ = 6954

This shows that the LCM of 114 and 122 is 6954.

The first step in determining the Least Common Multiple of 114 and 122 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 114 and 122:

Lets look at the first ten multiples of these numbers, 114 and 122:

114,228,342,456,570,684,798,912,1026,1938 are the first ten multiples of 114.

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 114 and 122, for example, are 1368, 1938, and 1952. 6954 is the least common multiple since it is the smallest.

114 and 122 have an LCM of 6954.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 114 and 122, than apply into the LCM equation.

GCF(114,122) = 2
LCM(114,122) = ( 114 × 122) / 2
LCM(114,122) = 13908 / 2
LCM(114,122) = 6954

1. What is the LCM of 114 and 122?

The LCM of 114 and 122 is 6954.

2. How to find the lowest common multiple of 114 and 122?

To find the lowest common multiple of 114 and 122, we have to get the multip;es of both numbers and identify the least common multiple in them which is 6954.

3. What are the Factors of 114?

Answer: Factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114. There are 8 integers that are factors of 114. The greatest factor of 114 is 114.

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 114 and 122 = 6954

Step 1: Find the prime factorization of 114

114 = 2 x 3 x 19

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 = 6954 = 2 x 3 x 19 x 61

Step 4: Therefore, the least common multiple of 114 and 122 is 6954.