Least Common Multiple of 3093 and 3099

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3093 and 3099 the smallest integer that is 3195069 that is divisible by both numbers.

Least Common Multiple (LCM) of 3093 and 3099 is 3195069.

LCM(3093,3099) = 3195069

LCM of 3093 and 3099

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

LCM of:
and

Least Common Multiple of 3093 and 3099

LCM of 3093 and 3099 is 3195069

Least common multiple can be found by multiplying the highest exponent prime factors of 3093 and 3099. First we will calculate the prime factors of 3093 and 3099.

Prime Factorization of 3093


3 3093
1031 1031
1

Prime factors of 3093 are 3,1031. Prime factorization of 3093 in exponential form is:

3093 = 31×10311

Prime Factorization of 3099


3 3099
1033 1033
1

Prime factors of 3099 are 3,1033. Prime factorization of 3099 in exponential form is:

3099 = 31×10331

Now multiplying the highest exponent prime factors to calculate the LCM of 3093 and 3099.

LCM(3093,3099) = 31×10311×10331
LCM(3093,3099) = 3195069

Factors of 3093

List of positive integer factors of 3093 that divides 3093 without a remainder.

1, 3, 1031, 3093

Factors of 3099

List of positive integer factors of 3099 that divides 3099 without a remainder.

1, 3, 1033, 3099

Least Common Multiple of 3093 and 3099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3093 and 3099, than apply into the LCM equation.

GCF(3093,3099) = 3
LCM(3093,3099) = ( 3093 × 3099) / 3
LCM(3093,3099) = 9585207 / 3
LCM(3093,3099) = 3195069

Properties of LCM 3093 and 3099

(i) The LCM of 3099 and 3093 is associative

LCM of 3093 and 3099 = LCM of 3099 and 3093

Related Least Common Multiples of 3093

Related Least Common Multiples of 3099

Frequently Asked Questions on LCM of 3093 and 3099

1. What is the LCM of 3093 and 3099?

Answer: LCM of 3093 and 3099 is 3195069.

2. What are the Factors of 3093?

Answer: Factors of 3093 are 1, 3, 1031, 3093. There are 4 integers that are factors of 3093. The greatest factor of 3093 is 3093.

3. What are the Factors of 3099?

Answer: Factors of 3099 are 1, 3, 1033, 3099. There are 4 integers that are factors of 3099. The greatest factor of 3099 is 3099.

4. How to Find the LCM of 3093 and 3099?

Answer:

Least Common Multiple of 3093 and 3099 = 3195069

Step 1: Find the prime factorization of 3093

3093 = 3 x 1031

Step 2: Find the prime factorization of 3099

3099 = 3 x 1033

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

LCM = 3195069 = 3 x 1031 x 1033

Step 4: Therefore, the least common multiple of 3093 and 3099 is 3195069.