Given Numbers are 139, 145

We can find the LCM of 139, 145 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 139 and 145

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

Multiples of 145 =145,290,435,580,725,870,1015,1160,1305,1450,1595,1740,1885,2030,2175,2320,2465,

Now, get the least common multiple of 139, 145 which is 20155

So, the LCM of 139, 145 is 20155.

One method for determining the LCM of 139 and 145 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 145's prime factorization:

Prime factors of 145 are 5,29.

145 = 5¹×29¹

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, 5,29

5¹×29¹×139¹ = 20155

This shows that the LCM of 139 and 145 is 20155.

The first step in determining the Least Common Multiple of 139 and 145 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 139 and 145:

Lets look at the first ten multiples of these numbers, 139 and 145:

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

145,290,435,580,725,870,1015,1160,1305,2465 are the first ten multiples of 145.

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 145, for example, are 1668, 2363, and 2320. 20155 is the least common multiple since it is the smallest.

139 and 145 have an LCM of 20155.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 139 and 145, than apply into the LCM equation.

GCF(139,145) = 1
LCM(139,145) = ( 139 × 145) / 1
LCM(139,145) = 20155 / 1
LCM(139,145) = 20155

1. What is the LCM of 139 and 145?

The LCM of 139 and 145 is 20155.

2. How to find the lowest common multiple of 139 and 145?

To find the lowest common multiple of 139 and 145, we have to get the multip;es of both numbers and identify the least common multiple in them which is 20155.

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 145?

Answer: Factors of 145 are 1, 5, 29, 145. There are 4 integers that are factors of 145. The greatest factor of 145 is 145.

Answer:

Least Common Multiple of 139 and 145 = 20155

Step 1: Find the prime factorization of 139

139 = 139

Step 2: Find the prime factorization of 145

145 = 5 x 29

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

LCM = 20155 = 5 x 29 x 139

Step 4: Therefore, the least common multiple of 139 and 145 is 20155.