Given Numbers are 397, 403

We can find the LCM of 397, 403 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 397 and 403

Multiples of 397 =397,794,1191,1588,1985,2382,2779,3176,3573,3970,4367,4764,5161,5558,5955,6352,6749,

Multiples of 403 =403,806,1209,1612,2015,2418,2821,3224,3627,4030,4433,4836,5239,5642,6045,6448,6851,

Now, get the least common multiple of 397, 403 which is 159991

So, the LCM of 397, 403 is 159991.

One method for determining the LCM of 397 and 403 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 397's prime factorization:

Prime factors of 397 are 397.

397 = 397¹

And this is 403's prime factorization:

Prime factors of 403 are 13,31.

403 = 13¹×31¹

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:397, 13,31

13¹×31¹×397¹ = 159991

This shows that the LCM of 397 and 403 is 159991.

The first step in determining the Least Common Multiple of 397 and 403 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 397 and 403:

Lets look at the first ten multiples of these numbers, 397 and 403:

397,794,1191,1588,1985,2382,2779,3176,3573,6749 are the first ten multiples of 397.

403,806,1209,1612,2015,2418,2821,3224,3627,6851 are the first ten multiples of 403.

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 397 and 403, for example, are 4764, 6749, and 6448. 159991 is the least common multiple since it is the smallest.

397 and 403 have an LCM of 159991.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 397 and 403, than apply into the LCM equation.

GCF(397,403) = 1
LCM(397,403) = ( 397 × 403) / 1
LCM(397,403) = 159991 / 1
LCM(397,403) = 159991

1. What is the LCM of 397 and 403?

The LCM of 397 and 403 is 159991.

2. How to find the lowest common multiple of 397 and 403?

To find the lowest common multiple of 397 and 403, we have to get the multip;es of both numbers and identify the least common multiple in them which is 159991.

3. What are the Factors of 397?

Answer: Factors of 397 are 1, 397. There are 2 integers that are factors of 397. The greatest factor of 397 is 397.

4. What are the Factors of 403?

Answer: Factors of 403 are 1, 13, 31, 403. There are 4 integers that are factors of 403. The greatest factor of 403 is 403.

Answer:

Least Common Multiple of 397 and 403 = 159991

Step 1: Find the prime factorization of 397

397 = 397

Step 2: Find the prime factorization of 403

403 = 13 x 31

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

LCM = 159991 = 13 x 31 x 397

Step 4: Therefore, the least common multiple of 397 and 403 is 159991.