Least Common Multiple of 4093 and 4098

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 4098 the smallest integer that is 16773114 that is divisible by both numbers.

Least Common Multiple (LCM) of 4093 and 4098 is 16773114.

LCM(4093,4098) = 16773114

LCM of 4093 and 4098

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

LCM of:
and

Least Common Multiple of 4093 and 4098

LCM of 4093 and 4098 is 16773114

Least common multiple can be found by multiplying the highest exponent prime factors of 4093 and 4098. First we will calculate the prime factors of 4093 and 4098.

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 4098


2 4098
3 2049
683 683
1

Prime factors of 4098 are 2, 3,683. Prime factorization of 4098 in exponential form is:

4098 = 21×31×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 4093 and 4098.

LCM(4093,4098) = 21×31×6831×40931
LCM(4093,4098) = 16773114

Factors of 4093

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

1, 4093

Factors of 4098

List of positive integer factors of 4098 that divides 4098 without a remainder.

1, 2, 3, 6, 683, 1366, 2049, 4098

Least Common Multiple of 4093 and 4098 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 4098, than apply into the LCM equation.

GCF(4093,4098) = 1
LCM(4093,4098) = ( 4093 × 4098) / 1
LCM(4093,4098) = 16773114 / 1
LCM(4093,4098) = 16773114

Properties of LCM 4093 and 4098

(i) The LCM of 4098 and 4093 is associative

LCM of 4093 and 4098 = LCM of 4098 and 4093

Related Least Common Multiples of 4093

Related Least Common Multiples of 4098

Frequently Asked Questions on LCM of 4093 and 4098

1. What is the LCM of 4093 and 4098?

Answer: LCM of 4093 and 4098 is 16773114.

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 4098?

Answer: Factors of 4098 are 1, 2, 3, 6, 683, 1366, 2049, 4098. There are 8 integers that are factors of 4098. The greatest factor of 4098 is 4098.

4. How to Find the LCM of 4093 and 4098?

Answer:

Least Common Multiple of 4093 and 4098 = 16773114

Step 1: Find the prime factorization of 4093

4093 = 4093

Step 2: Find the prime factorization of 4098

4098 = 2 x 3 x 683

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

LCM = 16773114 = 2 x 3 x 683 x 4093

Step 4: Therefore, the least common multiple of 4093 and 4098 is 16773114.