Given Numbers are 119, 127

We can find the LCM of 119, 127 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 119 and 127

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

Multiples of 127 =127,254,381,508,635,762,889,1016,1143,1270,1397,1524,1651,1778,1905,2032,2159,

Now, get the least common multiple of 119, 127 which is 15113

So, the LCM of 119, 127 is 15113.

One method for determining the LCM of 119 and 127 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 119's prime factorization:

Prime factors of 119 are 7,17.

119 = 7¹×17¹

And this is 127's prime factorization:

Prime factors of 127 are 127.

127 = 127¹

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: 7,17,127

7¹×17¹×127¹ = 15113

This shows that the LCM of 119 and 127 is 15113.

The first step in determining the Least Common Multiple of 119 and 127 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 119 and 127:

Lets look at the first ten multiples of these numbers, 119 and 127:

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

127,254,381,508,635,762,889,1016,1143,2159 are the first ten multiples of 127.

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 119 and 127, for example, are 1428, 2023, and 2032. 15113 is the least common multiple since it is the smallest.

119 and 127 have an LCM of 15113.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 119 and 127, than apply into the LCM equation.

GCF(119,127) = 1
LCM(119,127) = ( 119 × 127) / 1
LCM(119,127) = 15113 / 1
LCM(119,127) = 15113

1. What is the LCM of 119 and 127?

The LCM of 119 and 127 is 15113.

2. How to find the lowest common multiple of 119 and 127?

To find the lowest common multiple of 119 and 127, we have to get the multip;es of both numbers and identify the least common multiple in them which is 15113.

3. 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.

4. What are the Factors of 127?

Answer: Factors of 127 are 1, 127. There are 2 integers that are factors of 127. The greatest factor of 127 is 127.

Answer:

Least Common Multiple of 119 and 127 = 15113

Step 1: Find the prime factorization of 119

119 = 7 x 17

Step 2: Find the prime factorization of 127

127 = 127

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

LCM = 15113 = 7 x 17 x 127

Step 4: Therefore, the least common multiple of 119 and 127 is 15113.