Given Numbers are 354, 362

We can find the LCM of 354, 362 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 354 and 362

Multiples of 354 =354,708,1062,1416,1770,2124,2478,2832,3186,3540,3894,4248,4602,4956,5310,5664,6018,

Multiples of 362 =362,724,1086,1448,1810,2172,2534,2896,3258,3620,3982,4344,4706,5068,5430,5792,6154,

Now, get the least common multiple of 354, 362 which is 64074

So, the LCM of 354, 362 is 64074.

One method for determining the LCM of 354 and 362 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 354's prime factorization:

Prime factors of 354 are 2, 3,59.

354 = 2¹×3¹×59¹

And this is 362's prime factorization:

Prime factors of 362 are 2,181.

362 = 2¹×181¹

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, 3,59,181

2¹×3¹×59¹×181¹ = 64074

This shows that the LCM of 354 and 362 is 64074.

The first step in determining the Least Common Multiple of 354 and 362 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 354 and 362:

Lets look at the first ten multiples of these numbers, 354 and 362:

354,708,1062,1416,1770,2124,2478,2832,3186,6018 are the first ten multiples of 354.

362,724,1086,1448,1810,2172,2534,2896,3258,6154 are the first ten multiples of 362.

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 354 and 362, for example, are 4248, 6018, and 5792. 64074 is the least common multiple since it is the smallest.

354 and 362 have an LCM of 64074.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 354 and 362, than apply into the LCM equation.

GCF(354,362) = 2
LCM(354,362) = ( 354 × 362) / 2
LCM(354,362) = 128148 / 2
LCM(354,362) = 64074

1. What is the LCM of 354 and 362?

The LCM of 354 and 362 is 64074.

2. How to find the lowest common multiple of 354 and 362?

To find the lowest common multiple of 354 and 362, we have to get the multip;es of both numbers and identify the least common multiple in them which is 64074.

3. What are the Factors of 354?

Answer: Factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354. There are 8 integers that are factors of 354. The greatest factor of 354 is 354.

4. What are the Factors of 362?

Answer: Factors of 362 are 1, 2, 181, 362. There are 4 integers that are factors of 362. The greatest factor of 362 is 362.

Answer:

Least Common Multiple of 354 and 362 = 64074

Step 1: Find the prime factorization of 354

354 = 2 x 3 x 59

Step 2: Find the prime factorization of 362

362 = 2 x 181

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

LCM = 64074 = 2 x 3 x 59 x 181

Step 4: Therefore, the least common multiple of 354 and 362 is 64074.