Given Numbers are 119, 123

We can find the LCM of 119, 123 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 119 and 123

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

Multiples of 123 =123,246,369,492,615,738,861,984,1107,1230,1353,1476,1599,1722,1845,1968,2091,

Now, get the least common multiple of 119, 123 which is 14637

So, the LCM of 119, 123 is 14637.

One method for determining the LCM of 119 and 123 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 123's prime factorization:

Prime factors of 123 are 3,41.

123 = 3¹×41¹

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, 3,41

3¹×7¹×17¹×41¹ = 14637

This shows that the LCM of 119 and 123 is 14637.

The first step in determining the Least Common Multiple of 119 and 123 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 119 and 123:

Lets look at the first ten multiples of these numbers, 119 and 123:

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

123,246,369,492,615,738,861,984,1107,2091 are the first ten multiples of 123.

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 123, for example, are 1428, 2023, and 1968. 14637 is the least common multiple since it is the smallest.

119 and 123 have an LCM of 14637.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 119 and 123, than apply into the LCM equation.

GCF(119,123) = 1
LCM(119,123) = ( 119 × 123) / 1
LCM(119,123) = 14637 / 1
LCM(119,123) = 14637

1. What is the LCM of 119 and 123?

The LCM of 119 and 123 is 14637.

2. How to find the lowest common multiple of 119 and 123?

To find the lowest common multiple of 119 and 123, we have to get the multip;es of both numbers and identify the least common multiple in them which is 14637.

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 123?

Answer: Factors of 123 are 1, 3, 41, 123. There are 4 integers that are factors of 123. The greatest factor of 123 is 123.

Answer:

Least Common Multiple of 119 and 123 = 14637

Step 1: Find the prime factorization of 119

119 = 7 x 17

Step 2: Find the prime factorization of 123

123 = 3 x 41

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

LCM = 14637 = 3 x 7 x 17 x 41

Step 4: Therefore, the least common multiple of 119 and 123 is 14637.