Least Common Multiple of 2088 and 2095

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 2095 the smallest integer that is 4374360 that is divisible by both numbers.

Least Common Multiple (LCM) of 2088 and 2095 is 4374360.

LCM(2088,2095) = 4374360

LCM of 2088 and 2095

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

LCM of:
and

Least Common Multiple of 2088 and 2095

LCM of 2088 and 2095 is 4374360

Least common multiple can be found by multiplying the highest exponent prime factors of 2088 and 2095. First we will calculate the prime factors of 2088 and 2095.

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 2095


5 2095
419 419
1

Prime factors of 2095 are 5,419. Prime factorization of 2095 in exponential form is:

2095 = 51×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 2088 and 2095.

LCM(2088,2095) = 23×32×51×291×4191
LCM(2088,2095) = 4374360

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 2095

List of positive integer factors of 2095 that divides 2095 without a remainder.

1, 5, 419, 2095

Least Common Multiple of 2088 and 2095 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 2095, than apply into the LCM equation.

GCF(2088,2095) = 1
LCM(2088,2095) = ( 2088 × 2095) / 1
LCM(2088,2095) = 4374360 / 1
LCM(2088,2095) = 4374360

Properties of LCM 2088 and 2095

(i) The LCM of 2095 and 2088 is associative

LCM of 2088 and 2095 = LCM of 2095 and 2088

Related Least Common Multiples of 2088

Related Least Common Multiples of 2095

Frequently Asked Questions on LCM of 2088 and 2095

1. What is the LCM of 2088 and 2095?

Answer: LCM of 2088 and 2095 is 4374360.

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 2095?

Answer: Factors of 2095 are 1, 5, 419, 2095. There are 4 integers that are factors of 2095. The greatest factor of 2095 is 2095.

4. How to Find the LCM of 2088 and 2095?

Answer:

Least Common Multiple of 2088 and 2095 = 4374360

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 2095

2095 = 5 x 419

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

LCM = 4374360 = 2 x 2 x 2 x 3 x 3 x 5 x 29 x 419

Step 4: Therefore, the least common multiple of 2088 and 2095 is 4374360.