Given Numbers are 111, 118

We can find the LCM of 111, 118 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 111 and 118

Multiples of 111 =111,222,333,444,555,666,777,888,999,1110,1221,1332,1443,1554,1665,1776,1887,

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 111, 118 which is 13098

So, the LCM of 111, 118 is 13098.

One method for determining the LCM of 111 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 111's prime factorization:

Prime factors of 111 are 3,37.

111 = 3¹×37¹

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: 3,37, 2,59

2¹×3¹×37¹×59¹ = 13098

This shows that the LCM of 111 and 118 is 13098.

The first step in determining the Least Common Multiple of 111 and 118 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 111 and 118:

Lets look at the first ten multiples of these numbers, 111 and 118:

111,222,333,444,555,666,777,888,999,1887 are the first ten multiples of 111.

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 111 and 118, for example, are 1332, 1887, and 1888. 13098 is the least common multiple since it is the smallest.

111 and 118 have an LCM of 13098.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 111 and 118, than apply into the LCM equation.

GCF(111,118) = 1
LCM(111,118) = ( 111 × 118) / 1
LCM(111,118) = 13098 / 1
LCM(111,118) = 13098

1. What is the LCM of 111 and 118?

The LCM of 111 and 118 is 13098.

2. How to find the lowest common multiple of 111 and 118?

To find the lowest common multiple of 111 and 118, we have to get the multip;es of both numbers and identify the least common multiple in them which is 13098.

3. What are the Factors of 111?

Answer: Factors of 111 are 1, 3, 37, 111. There are 4 integers that are factors of 111. The greatest factor of 111 is 111.

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 111 and 118 = 13098

Step 1: Find the prime factorization of 111

111 = 3 x 37

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 = 13098 = 2 x 3 x 37 x 59

Step 4: Therefore, the least common multiple of 111 and 118 is 13098.