Least Common Multiple of 6088 and 6093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6088 and 6093 the smallest integer that is 37094184 that is divisible by both numbers.

Least Common Multiple (LCM) of 6088 and 6093 is 37094184.

LCM(6088,6093) = 37094184

LCM of 6088 and 6093

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

LCM of:
and

Least Common Multiple of 6088 and 6093

LCM of 6088 and 6093 is 37094184

Least common multiple can be found by multiplying the highest exponent prime factors of 6088 and 6093. First we will calculate the prime factors of 6088 and 6093.

Prime Factorization of 6088


2 6088
2 3044
2 1522
761 761
1

Prime factors of 6088 are 2,761. Prime factorization of 6088 in exponential form is:

6088 = 23×7611

Prime Factorization of 6093


3 6093
3 2031
677 677
1

Prime factors of 6093 are 3,677. Prime factorization of 6093 in exponential form is:

6093 = 32×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 6088 and 6093.

LCM(6088,6093) = 23×32×6771×7611
LCM(6088,6093) = 37094184

Factors of 6088

List of positive integer factors of 6088 that divides 6088 without a remainder.

1, 2, 4, 8, 761, 1522, 3044, 6088

Factors of 6093

List of positive integer factors of 6093 that divides 6093 without a remainder.

1, 3, 9, 677, 2031, 6093

Least Common Multiple of 6088 and 6093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6088 and 6093, than apply into the LCM equation.

GCF(6088,6093) = 1
LCM(6088,6093) = ( 6088 × 6093) / 1
LCM(6088,6093) = 37094184 / 1
LCM(6088,6093) = 37094184

Properties of LCM 6088 and 6093

(i) The LCM of 6093 and 6088 is associative

LCM of 6088 and 6093 = LCM of 6093 and 6088

Related Least Common Multiples of 6088

Related Least Common Multiples of 6093

Frequently Asked Questions on LCM of 6088 and 6093

1. What is the LCM of 6088 and 6093?

Answer: LCM of 6088 and 6093 is 37094184.

2. What are the Factors of 6088?

Answer: Factors of 6088 are 1, 2, 4, 8, 761, 1522, 3044, 6088. There are 8 integers that are factors of 6088. The greatest factor of 6088 is 6088.

3. What are the Factors of 6093?

Answer: Factors of 6093 are 1, 3, 9, 677, 2031, 6093. There are 6 integers that are factors of 6093. The greatest factor of 6093 is 6093.

4. How to Find the LCM of 6088 and 6093?

Answer:

Least Common Multiple of 6088 and 6093 = 37094184

Step 1: Find the prime factorization of 6088

6088 = 2 x 2 x 2 x 761

Step 2: Find the prime factorization of 6093

6093 = 3 x 3 x 677

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

LCM = 37094184 = 2 x 2 x 2 x 3 x 3 x 677 x 761

Step 4: Therefore, the least common multiple of 6088 and 6093 is 37094184.