Given Numbers are 112, 118

We can find the LCM of 112, 118 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 112 and 118

Multiples of 112 =112,224,336,448,560,672,784,896,1008,1120,1232,1344,1456,1568,1680,1792,1904,

Multiples of 118 =118,236,354,472,590,708,826,944,1062,1180,1298,1416,1534,1652,1770,1888,2006,

Now, get the least common multiple of 112, 118 which is 6608

So, the LCM of 112, 118 is 6608.

One method for determining the LCM of 112 and 118 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 112's prime factorization:

Prime factors of 112 are 2,7.

112 = 2⁴×7¹

And this is 118's prime factorization:

Prime factors of 118 are 2,59.

118 = 2¹×59¹

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: 2,7,59

2⁴×7¹×59¹ = 6608

This shows that the LCM of 112 and 118 is 6608.

The first step in determining the Least Common Multiple of 112 and 118 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 112 and 118:

Lets look at the first ten multiples of these numbers, 112 and 118:

112,224,336,448,560,672,784,896,1008,1904 are the first ten multiples of 112.

118,236,354,472,590,708,826,944,1062,2006 are the first ten multiples of 118.

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 112 and 118, for example, are 1344, 1904, and 1888. 6608 is the least common multiple since it is the smallest.

112 and 118 have an LCM of 6608.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 112 and 118, than apply into the LCM equation.

GCF(112,118) = 2
LCM(112,118) = ( 112 × 118) / 2
LCM(112,118) = 13216 / 2
LCM(112,118) = 6608

1. What is the LCM of 112 and 118?

The LCM of 112 and 118 is 6608.

2. How to find the lowest common multiple of 112 and 118?

To find the lowest common multiple of 112 and 118, we have to get the multip;es of both numbers and identify the least common multiple in them which is 6608.

3. What are the Factors of 112?

Answer: Factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112. There are 10 integers that are factors of 112. The greatest factor of 112 is 112.

4. What are the Factors of 118?

Answer: Factors of 118 are 1, 2, 59, 118. There are 4 integers that are factors of 118. The greatest factor of 118 is 118.

Answer:

Least Common Multiple of 112 and 118 = 6608

Step 1: Find the prime factorization of 112

112 = 2 x 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 118

118 = 2 x 59

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

LCM = 6608 = 2 x 2 x 2 x 2 x 7 x 59

Step 4: Therefore, the least common multiple of 112 and 118 is 6608.