Least Common Multiple of 4093 and 4097

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4093 and 4097 the smallest integer that is 16769021 that is divisible by both numbers.

Least Common Multiple (LCM) of 4093 and 4097 is 16769021.

LCM(4093,4097) = 16769021

LCM of 4093 and 4097

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4093 and 4097

LCM of 4093 and 4097 is 16769021

Least common multiple can be found by multiplying the highest exponent prime factors of 4093 and 4097. First we will calculate the prime factors of 4093 and 4097.

Prime Factorization of 4093


4093 4093
1

Prime factors of 4093 are 4093. Prime factorization of 4093 in exponential form is:

4093 = 40931

Prime Factorization of 4097


17 4097
241 241
1

Prime factors of 4097 are 17,241. Prime factorization of 4097 in exponential form is:

4097 = 171×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 4093 and 4097.

LCM(4093,4097) = 171×2411×40931
LCM(4093,4097) = 16769021

Factors of 4093

List of positive integer factors of 4093 that divides 4093 without a remainder.

1, 4093

Factors of 4097

List of positive integer factors of 4097 that divides 4097 without a remainder.

1, 17, 241, 4097

Least Common Multiple of 4093 and 4097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4093 and 4097, than apply into the LCM equation.

GCF(4093,4097) = 1
LCM(4093,4097) = ( 4093 × 4097) / 1
LCM(4093,4097) = 16769021 / 1
LCM(4093,4097) = 16769021

Properties of LCM 4093 and 4097

(i) The LCM of 4097 and 4093 is associative

LCM of 4093 and 4097 = LCM of 4097 and 4093

Related Least Common Multiples of 4093

Related Least Common Multiples of 4097

Frequently Asked Questions on LCM of 4093 and 4097

1. What is the LCM of 4093 and 4097?

Answer: LCM of 4093 and 4097 is 16769021.

2. What are the Factors of 4093?

Answer: Factors of 4093 are 1, 4093. There are 2 integers that are factors of 4093. The greatest factor of 4093 is 4093.

3. What are the Factors of 4097?

Answer: Factors of 4097 are 1, 17, 241, 4097. There are 4 integers that are factors of 4097. The greatest factor of 4097 is 4097.

4. How to Find the LCM of 4093 and 4097?

Answer:

Least Common Multiple of 4093 and 4097 = 16769021

Step 1: Find the prime factorization of 4093

4093 = 4093

Step 2: Find the prime factorization of 4097

4097 = 17 x 241

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

LCM = 16769021 = 17 x 241 x 4093

Step 4: Therefore, the least common multiple of 4093 and 4097 is 16769021.