Least Common Multiple of 3088 and 3093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3088 and 3093 the smallest integer that is 9551184 that is divisible by both numbers.

Least Common Multiple (LCM) of 3088 and 3093 is 9551184.

LCM(3088,3093) = 9551184

LCM of 3088 and 3093

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

LCM of:
and

Least Common Multiple of 3088 and 3093

LCM of 3088 and 3093 is 9551184

Least common multiple can be found by multiplying the highest exponent prime factors of 3088 and 3093. First we will calculate the prime factors of 3088 and 3093.

Prime Factorization of 3088


2 3088
2 1544
2 772
2 386
193 193
1

Prime factors of 3088 are 2,193. Prime factorization of 3088 in exponential form is:

3088 = 24×1931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3088 and 3093.

LCM(3088,3093) = 24×31×1931×10311
LCM(3088,3093) = 9551184

Factors of 3088

List of positive integer factors of 3088 that divides 3088 without a remainder.

1, 2, 4, 8, 16, 193, 386, 772, 1544, 3088

Factors of 3093

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

1, 3, 1031, 3093

Least Common Multiple of 3088 and 3093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3088 and 3093, than apply into the LCM equation.

GCF(3088,3093) = 1
LCM(3088,3093) = ( 3088 × 3093) / 1
LCM(3088,3093) = 9551184 / 1
LCM(3088,3093) = 9551184

Properties of LCM 3088 and 3093

(i) The LCM of 3093 and 3088 is associative

LCM of 3088 and 3093 = LCM of 3093 and 3088

Related Least Common Multiples of 3088

Related Least Common Multiples of 3093

Frequently Asked Questions on LCM of 3088 and 3093

1. What is the LCM of 3088 and 3093?

Answer: LCM of 3088 and 3093 is 9551184.

2. What are the Factors of 3088?

Answer: Factors of 3088 are 1, 2, 4, 8, 16, 193, 386, 772, 1544, 3088. There are 10 integers that are factors of 3088. The greatest factor of 3088 is 3088.

3. 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.

4. How to Find the LCM of 3088 and 3093?

Answer:

Least Common Multiple of 3088 and 3093 = 9551184

Step 1: Find the prime factorization of 3088

3088 = 2 x 2 x 2 x 2 x 193

Step 2: Find the prime factorization of 3093

3093 = 3 x 1031

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

LCM = 9551184 = 2 x 2 x 2 x 2 x 3 x 193 x 1031

Step 4: Therefore, the least common multiple of 3088 and 3093 is 9551184.