Least Common Multiple of 2088 and 2093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2088 and 2093 the smallest integer that is 4370184 that is divisible by both numbers.

Least Common Multiple (LCM) of 2088 and 2093 is 4370184.

LCM(2088,2093) = 4370184

LCM of 2088 and 2093

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

LCM of:
and

Least Common Multiple of 2088 and 2093

LCM of 2088 and 2093 is 4370184

Least common multiple can be found by multiplying the highest exponent prime factors of 2088 and 2093. First we will calculate the prime factors of 2088 and 2093.

Prime Factorization of 2088


2 2088
2 1044
2 522
3 261
3 87
29 29
1

Prime factors of 2088 are 2, 3,29. Prime factorization of 2088 in exponential form is:

2088 = 23×32×291

Prime Factorization of 2093


7 2093
13 299
23 23
1

Prime factors of 2093 are 7, 13,23. Prime factorization of 2093 in exponential form is:

2093 = 71×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2088 and 2093.

LCM(2088,2093) = 23×32×71×131×231×291
LCM(2088,2093) = 4370184

Factors of 2088

List of positive integer factors of 2088 that divides 2088 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116, 174, 232, 261, 348, 522, 696, 1044, 2088

Factors of 2093

List of positive integer factors of 2093 that divides 2093 without a remainder.

1, 7, 13, 23, 91, 161, 299, 2093

Least Common Multiple of 2088 and 2093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2088 and 2093, than apply into the LCM equation.

GCF(2088,2093) = 1
LCM(2088,2093) = ( 2088 × 2093) / 1
LCM(2088,2093) = 4370184 / 1
LCM(2088,2093) = 4370184

Properties of LCM 2088 and 2093

(i) The LCM of 2093 and 2088 is associative

LCM of 2088 and 2093 = LCM of 2093 and 2088

Related Least Common Multiples of 2088

Related Least Common Multiples of 2093

Frequently Asked Questions on LCM of 2088 and 2093

1. What is the LCM of 2088 and 2093?

Answer: LCM of 2088 and 2093 is 4370184.

2. What are the Factors of 2088?

Answer: Factors of 2088 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116, 174, 232, 261, 348, 522, 696, 1044, 2088. There are 24 integers that are factors of 2088. The greatest factor of 2088 is 2088.

3. What are the Factors of 2093?

Answer: Factors of 2093 are 1, 7, 13, 23, 91, 161, 299, 2093. There are 8 integers that are factors of 2093. The greatest factor of 2093 is 2093.

4. How to Find the LCM of 2088 and 2093?

Answer:

Least Common Multiple of 2088 and 2093 = 4370184

Step 1: Find the prime factorization of 2088

2088 = 2 x 2 x 2 x 3 x 3 x 29

Step 2: Find the prime factorization of 2093

2093 = 7 x 13 x 23

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

LCM = 4370184 = 2 x 2 x 2 x 3 x 3 x 7 x 13 x 23 x 29

Step 4: Therefore, the least common multiple of 2088 and 2093 is 4370184.