Given Numbers are 139, 146

We can find the LCM of 139, 146 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 139 and 146

Multiples of 139 =139,278,417,556,695,834,973,1112,1251,1390,1529,1668,1807,1946,2085,2224,2363,

Multiples of 146 =146,292,438,584,730,876,1022,1168,1314,1460,1606,1752,1898,2044,2190,2336,2482,

Now, get the least common multiple of 139, 146 which is 20294

So, the LCM of 139, 146 is 20294.

One method for determining the LCM of 139 and 146 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 139's prime factorization:

Prime factors of 139 are 139.

139 = 139¹

And this is 146's prime factorization:

Prime factors of 146 are 2,73.

146 = 2¹×73¹

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:139, 2,73

2¹×73¹×139¹ = 20294

This shows that the LCM of 139 and 146 is 20294.

The first step in determining the Least Common Multiple of 139 and 146 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 139 and 146:

Lets look at the first ten multiples of these numbers, 139 and 146:

139,278,417,556,695,834,973,1112,1251,2363 are the first ten multiples of 139.

146,292,438,584,730,876,1022,1168,1314,2482 are the first ten multiples of 146.

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 139 and 146, for example, are 1668, 2363, and 2336. 20294 is the least common multiple since it is the smallest.

139 and 146 have an LCM of 20294.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 139 and 146, than apply into the LCM equation.

GCF(139,146) = 1
LCM(139,146) = ( 139 × 146) / 1
LCM(139,146) = 20294 / 1
LCM(139,146) = 20294

1. What is the LCM of 139 and 146?

The LCM of 139 and 146 is 20294.

2. How to find the lowest common multiple of 139 and 146?

To find the lowest common multiple of 139 and 146, we have to get the multip;es of both numbers and identify the least common multiple in them which is 20294.

3. What are the Factors of 139?

Answer: Factors of 139 are 1, 139. There are 2 integers that are factors of 139. The greatest factor of 139 is 139.

4. What are the Factors of 146?

Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.

Answer:

Least Common Multiple of 139 and 146 = 20294

Step 1: Find the prime factorization of 139

139 = 139

Step 2: Find the prime factorization of 146

146 = 2 x 73

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

LCM = 20294 = 2 x 73 x 139

Step 4: Therefore, the least common multiple of 139 and 146 is 20294.