Given Numbers are 115, 119

We can find the LCM of 115, 119 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 115 and 119

Multiples of 115 =115,230,345,460,575,690,805,920,1035,1150,1265,1380,1495,1610,1725,1840,1955,

Multiples of 119 =119,238,357,476,595,714,833,952,1071,1190,1309,1428,1547,1666,1785,1904,2023,

Now, get the least common multiple of 115, 119 which is 13685

So, the LCM of 115, 119 is 13685.

One method for determining the LCM of 115 and 119 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 115's prime factorization:

Prime factors of 115 are 5,23.

115 = 5¹×23¹

And this is 119's prime factorization:

Prime factors of 119 are 7,17.

119 = 7¹×17¹

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: 5,23, 7,17

5¹×7¹×17¹×23¹ = 13685

This shows that the LCM of 115 and 119 is 13685.

The first step in determining the Least Common Multiple of 115 and 119 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 115 and 119:

Lets look at the first ten multiples of these numbers, 115 and 119:

115,230,345,460,575,690,805,920,1035,1955 are the first ten multiples of 115.

119,238,357,476,595,714,833,952,1071,2023 are the first ten multiples of 119.

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 115 and 119, for example, are 1380, 1955, and 1904. 13685 is the least common multiple since it is the smallest.

115 and 119 have an LCM of 13685.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 115 and 119, than apply into the LCM equation.

GCF(115,119) = 1
LCM(115,119) = ( 115 × 119) / 1
LCM(115,119) = 13685 / 1
LCM(115,119) = 13685

1. What is the LCM of 115 and 119?

The LCM of 115 and 119 is 13685.

2. How to find the lowest common multiple of 115 and 119?

To find the lowest common multiple of 115 and 119, we have to get the multip;es of both numbers and identify the least common multiple in them which is 13685.

3. What are the Factors of 115?

Answer: Factors of 115 are 1, 5, 23, 115. There are 4 integers that are factors of 115. The greatest factor of 115 is 115.

4. What are the Factors of 119?

Answer: Factors of 119 are 1, 7, 17, 119. There are 4 integers that are factors of 119. The greatest factor of 119 is 119.

Answer:

Least Common Multiple of 115 and 119 = 13685

Step 1: Find the prime factorization of 115

115 = 5 x 23

Step 2: Find the prime factorization of 119

119 = 7 x 17

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

LCM = 13685 = 5 x 7 x 17 x 23

Step 4: Therefore, the least common multiple of 115 and 119 is 13685.