Given Numbers are 119, 124

We can find the LCM of 119, 124 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 119 and 124

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

Multiples of 124 =124,248,372,496,620,744,868,992,1116,1240,1364,1488,1612,1736,1860,1984,2108,

Now, get the least common multiple of 119, 124 which is 14756

So, the LCM of 119, 124 is 14756.

One method for determining the LCM of 119 and 124 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 124's prime factorization:

Prime factors of 124 are 2,31.

124 = 2²×31¹

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, 2,31

2²×7¹×17¹×31¹ = 14756

This shows that the LCM of 119 and 124 is 14756.

The first step in determining the Least Common Multiple of 119 and 124 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 119 and 124:

Lets look at the first ten multiples of these numbers, 119 and 124:

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

124,248,372,496,620,744,868,992,1116,2108 are the first ten multiples of 124.

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 124, for example, are 1428, 2023, and 1984. 14756 is the least common multiple since it is the smallest.

119 and 124 have an LCM of 14756.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 119 and 124, than apply into the LCM equation.

GCF(119,124) = 1
LCM(119,124) = ( 119 × 124) / 1
LCM(119,124) = 14756 / 1
LCM(119,124) = 14756

1. What is the LCM of 119 and 124?

The LCM of 119 and 124 is 14756.

2. How to find the lowest common multiple of 119 and 124?

To find the lowest common multiple of 119 and 124, we have to get the multip;es of both numbers and identify the least common multiple in them which is 14756.

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 124?

Answer: Factors of 124 are 1, 2, 4, 31, 62, 124. There are 6 integers that are factors of 124. The greatest factor of 124 is 124.

Answer:

Least Common Multiple of 119 and 124 = 14756

Step 1: Find the prime factorization of 119

119 = 7 x 17

Step 2: Find the prime factorization of 124

124 = 2 x 2 x 31

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

LCM = 14756 = 2 x 2 x 7 x 17 x 31

Step 4: Therefore, the least common multiple of 119 and 124 is 14756.