Least Common Multiple of 2088 and 2096

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 2096 the smallest integer that is 547056 that is divisible by both numbers.

Least Common Multiple (LCM) of 2088 and 2096 is 547056.

LCM(2088,2096) = 547056

LCM of 2088 and 2096

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

LCM of:
and

Least Common Multiple of 2088 and 2096

LCM of 2088 and 2096 is 547056

Least common multiple can be found by multiplying the highest exponent prime factors of 2088 and 2096. First we will calculate the prime factors of 2088 and 2096.

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 2096


2 2096
2 1048
2 524
2 262
131 131
1

Prime factors of 2096 are 2,131. Prime factorization of 2096 in exponential form is:

2096 = 24×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 2088 and 2096.

LCM(2088,2096) = 24×32×291×1311
LCM(2088,2096) = 547056

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 2096

List of positive integer factors of 2096 that divides 2096 without a remainder.

1, 2, 4, 8, 16, 131, 262, 524, 1048, 2096

Least Common Multiple of 2088 and 2096 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 2096, than apply into the LCM equation.

GCF(2088,2096) = 8
LCM(2088,2096) = ( 2088 × 2096) / 8
LCM(2088,2096) = 4376448 / 8
LCM(2088,2096) = 547056

Properties of LCM 2088 and 2096

(i) The LCM of 2096 and 2088 is associative

LCM of 2088 and 2096 = LCM of 2096 and 2088

Related Least Common Multiples of 2088

Related Least Common Multiples of 2096

Frequently Asked Questions on LCM of 2088 and 2096

1. What is the LCM of 2088 and 2096?

Answer: LCM of 2088 and 2096 is 547056.

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 2096?

Answer: Factors of 2096 are 1, 2, 4, 8, 16, 131, 262, 524, 1048, 2096. There are 10 integers that are factors of 2096. The greatest factor of 2096 is 2096.

4. How to Find the LCM of 2088 and 2096?

Answer:

Least Common Multiple of 2088 and 2096 = 547056

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 2096

2096 = 2 x 2 x 2 x 2 x 131

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

LCM = 547056 = 2 x 2 x 2 x 2 x 3 x 3 x 29 x 131

Step 4: Therefore, the least common multiple of 2088 and 2096 is 547056.