Given Numbers are 104, 109

We can find the LCM of 104, 109 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 104 and 109

Multiples of 104 =104,208,312,416,520,624,728,832,936,1040,1144,1248,1352,1456,1560,1664,1768,

Multiples of 109 =109,218,327,436,545,654,763,872,981,1090,1199,1308,1417,1526,1635,1744,1853,

Now, get the least common multiple of 104, 109 which is 11336

So, the LCM of 104, 109 is 11336.

One method for determining the LCM of 104 and 109 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 104's prime factorization:

Prime factors of 104 are 2,13.

104 = 2³×13¹

And this is 109's prime factorization:

Prime factors of 109 are 109.

109 = 109¹

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: 2,13,109

2³×13¹×109¹ = 11336

This shows that the LCM of 104 and 109 is 11336.

The first step in determining the Least Common Multiple of 104 and 109 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 104 and 109:

Lets look at the first ten multiples of these numbers, 104 and 109:

104,208,312,416,520,624,728,832,936,1768 are the first ten multiples of 104.

109,218,327,436,545,654,763,872,981,1853 are the first ten multiples of 109.

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 104 and 109, for example, are 1248, 1768, and 1744. 11336 is the least common multiple since it is the smallest.

104 and 109 have an LCM of 11336.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 104 and 109, than apply into the LCM equation.

GCF(104,109) = 1
LCM(104,109) = ( 104 × 109) / 1
LCM(104,109) = 11336 / 1
LCM(104,109) = 11336

1. What is the LCM of 104 and 109?

The LCM of 104 and 109 is 11336.

2. How to find the lowest common multiple of 104 and 109?

To find the lowest common multiple of 104 and 109, we have to get the multip;es of both numbers and identify the least common multiple in them which is 11336.

3. What are the Factors of 104?

Answer: Factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104. There are 8 integers that are factors of 104. The greatest factor of 104 is 104.

4. What are the Factors of 109?

Answer: Factors of 109 are 1, 109. There are 2 integers that are factors of 109. The greatest factor of 109 is 109.

Answer:

Least Common Multiple of 104 and 109 = 11336

Step 1: Find the prime factorization of 104

104 = 2 x 2 x 2 x 13

Step 2: Find the prime factorization of 109

109 = 109

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

LCM = 11336 = 2 x 2 x 2 x 13 x 109

Step 4: Therefore, the least common multiple of 104 and 109 is 11336.