Given Numbers are 142, 149

We can find the LCM of 142, 149 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 142 and 149

Multiples of 142 =142,284,426,568,710,852,994,1136,1278,1420,1562,1704,1846,1988,2130,2272,2414,

Multiples of 149 =149,298,447,596,745,894,1043,1192,1341,1490,1639,1788,1937,2086,2235,2384,2533,

Now, get the least common multiple of 142, 149 which is 21158

So, the LCM of 142, 149 is 21158.

One method for determining the LCM of 142 and 149 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 142's prime factorization:

Prime factors of 142 are 2,71.

142 = 2¹×71¹

And this is 149's prime factorization:

Prime factors of 149 are 149.

149 = 149¹

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: 2,71,149

2¹×71¹×149¹ = 21158

This shows that the LCM of 142 and 149 is 21158.

The first step in determining the Least Common Multiple of 142 and 149 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 142 and 149:

Lets look at the first ten multiples of these numbers, 142 and 149:

142,284,426,568,710,852,994,1136,1278,2414 are the first ten multiples of 142.

149,298,447,596,745,894,1043,1192,1341,2533 are the first ten multiples of 149.

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 142 and 149, for example, are 1704, 2414, and 2384. 21158 is the least common multiple since it is the smallest.

142 and 149 have an LCM of 21158.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 142 and 149, than apply into the LCM equation.

GCF(142,149) = 1
LCM(142,149) = ( 142 × 149) / 1
LCM(142,149) = 21158 / 1
LCM(142,149) = 21158

1. What is the LCM of 142 and 149?

The LCM of 142 and 149 is 21158.

2. How to find the lowest common multiple of 142 and 149?

To find the lowest common multiple of 142 and 149, we have to get the multip;es of both numbers and identify the least common multiple in them which is 21158.

3. What are the Factors of 142?

Answer: Factors of 142 are 1, 2, 71, 142. There are 4 integers that are factors of 142. The greatest factor of 142 is 142.

4. What are the Factors of 149?

Answer: Factors of 149 are 1, 149. There are 2 integers that are factors of 149. The greatest factor of 149 is 149.

Answer:

Least Common Multiple of 142 and 149 = 21158

Step 1: Find the prime factorization of 142

142 = 2 x 71

Step 2: Find the prime factorization of 149

149 = 149

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

LCM = 21158 = 2 x 71 x 149

Step 4: Therefore, the least common multiple of 142 and 149 is 21158.