Given Numbers are 355, 359

We can find the LCM of 355, 359 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 355 and 359

Multiples of 355 =355,710,1065,1420,1775,2130,2485,2840,3195,3550,3905,4260,4615,4970,5325,5680,6035,

Multiples of 359 =359,718,1077,1436,1795,2154,2513,2872,3231,3590,3949,4308,4667,5026,5385,5744,6103,

Now, get the least common multiple of 355, 359 which is 127445

So, the LCM of 355, 359 is 127445.

One method for determining the LCM of 355 and 359 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 355's prime factorization:

Prime factors of 355 are 5,71.

355 = 5¹×71¹

And this is 359's prime factorization:

Prime factors of 359 are 359.

359 = 359¹

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: 5,71,359

5¹×71¹×359¹ = 127445

This shows that the LCM of 355 and 359 is 127445.

The first step in determining the Least Common Multiple of 355 and 359 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 355 and 359:

Lets look at the first ten multiples of these numbers, 355 and 359:

355,710,1065,1420,1775,2130,2485,2840,3195,6035 are the first ten multiples of 355.

359,718,1077,1436,1795,2154,2513,2872,3231,6103 are the first ten multiples of 359.

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 355 and 359, for example, are 4260, 6035, and 5744. 127445 is the least common multiple since it is the smallest.

355 and 359 have an LCM of 127445.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 355 and 359, than apply into the LCM equation.

GCF(355,359) = 1
LCM(355,359) = ( 355 × 359) / 1
LCM(355,359) = 127445 / 1
LCM(355,359) = 127445

1. What is the LCM of 355 and 359?

The LCM of 355 and 359 is 127445.

2. How to find the lowest common multiple of 355 and 359?

To find the lowest common multiple of 355 and 359, we have to get the multip;es of both numbers and identify the least common multiple in them which is 127445.

3. What are the Factors of 355?

Answer: Factors of 355 are 1, 5, 71, 355. There are 4 integers that are factors of 355. The greatest factor of 355 is 355.

4. What are the Factors of 359?

Answer: Factors of 359 are 1, 359. There are 2 integers that are factors of 359. The greatest factor of 359 is 359.

Answer:

Least Common Multiple of 355 and 359 = 127445

Step 1: Find the prime factorization of 355

355 = 5 x 71

Step 2: Find the prime factorization of 359

359 = 359

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

LCM = 127445 = 5 x 71 x 359

Step 4: Therefore, the least common multiple of 355 and 359 is 127445.