Given Numbers are 122, 129

We can find the LCM of 122, 129 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 122 and 129

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

Multiples of 129 =129,258,387,516,645,774,903,1032,1161,1290,1419,1548,1677,1806,1935,2064,2193,

Now, get the least common multiple of 122, 129 which is 15738

So, the LCM of 122, 129 is 15738.

One method for determining the LCM of 122 and 129 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 122's prime factorization:

Prime factors of 122 are 2,61.

122 = 2¹×61¹

And this is 129's prime factorization:

Prime factors of 129 are 3,43.

129 = 3¹×43¹

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: 2,61, 3,43

2¹×3¹×43¹×61¹ = 15738

This shows that the LCM of 122 and 129 is 15738.

The first step in determining the Least Common Multiple of 122 and 129 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 122 and 129:

Lets look at the first ten multiples of these numbers, 122 and 129:

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

129,258,387,516,645,774,903,1032,1161,2193 are the first ten multiples of 129.

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 122 and 129, for example, are 1464, 2074, and 2064. 15738 is the least common multiple since it is the smallest.

122 and 129 have an LCM of 15738.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 122 and 129, than apply into the LCM equation.

GCF(122,129) = 1
LCM(122,129) = ( 122 × 129) / 1
LCM(122,129) = 15738 / 1
LCM(122,129) = 15738

1. What is the LCM of 122 and 129?

The LCM of 122 and 129 is 15738.

2. How to find the lowest common multiple of 122 and 129?

To find the lowest common multiple of 122 and 129, we have to get the multip;es of both numbers and identify the least common multiple in them which is 15738.

3. 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.

4. What are the Factors of 129?

Answer: Factors of 129 are 1, 3, 43, 129. There are 4 integers that are factors of 129. The greatest factor of 129 is 129.

Answer:

Least Common Multiple of 122 and 129 = 15738

Step 1: Find the prime factorization of 122

122 = 2 x 61

Step 2: Find the prime factorization of 129

129 = 3 x 43

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

LCM = 15738 = 2 x 3 x 43 x 61

Step 4: Therefore, the least common multiple of 122 and 129 is 15738.