Given Numbers are 365, 373

We can find the LCM of 365, 373 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 365 and 373

Multiples of 365 =365,730,1095,1460,1825,2190,2555,2920,3285,3650,4015,4380,4745,5110,5475,5840,6205,

Multiples of 373 =373,746,1119,1492,1865,2238,2611,2984,3357,3730,4103,4476,4849,5222,5595,5968,6341,

Now, get the least common multiple of 365, 373 which is 136145

So, the LCM of 365, 373 is 136145.

One method for determining the LCM of 365 and 373 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 365's prime factorization:

Prime factors of 365 are 5,73.

365 = 5¹×73¹

And this is 373's prime factorization:

Prime factors of 373 are 373.

373 = 373¹

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: 5,73,373

5¹×73¹×373¹ = 136145

This shows that the LCM of 365 and 373 is 136145.

The first step in determining the Least Common Multiple of 365 and 373 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 365 and 373:

Lets look at the first ten multiples of these numbers, 365 and 373:

365,730,1095,1460,1825,2190,2555,2920,3285,6205 are the first ten multiples of 365.

373,746,1119,1492,1865,2238,2611,2984,3357,6341 are the first ten multiples of 373.

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 365 and 373, for example, are 4380, 6205, and 5968. 136145 is the least common multiple since it is the smallest.

365 and 373 have an LCM of 136145.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 365 and 373, than apply into the LCM equation.

GCF(365,373) = 1
LCM(365,373) = ( 365 × 373) / 1
LCM(365,373) = 136145 / 1
LCM(365,373) = 136145

1. What is the LCM of 365 and 373?

The LCM of 365 and 373 is 136145.

2. How to find the lowest common multiple of 365 and 373?

To find the lowest common multiple of 365 and 373, we have to get the multip;es of both numbers and identify the least common multiple in them which is 136145.

3. What are the Factors of 365?

Answer: Factors of 365 are 1, 5, 73, 365. There are 4 integers that are factors of 365. The greatest factor of 365 is 365.

4. What are the Factors of 373?

Answer: Factors of 373 are 1, 373. There are 2 integers that are factors of 373. The greatest factor of 373 is 373.

Answer:

Least Common Multiple of 365 and 373 = 136145

Step 1: Find the prime factorization of 365

365 = 5 x 73

Step 2: Find the prime factorization of 373

373 = 373

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

LCM = 136145 = 5 x 73 x 373

Step 4: Therefore, the least common multiple of 365 and 373 is 136145.