Least Common Multiple of 8088 and 8096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8088 and 8096 the smallest integer that is 8185056 that is divisible by both numbers.

Least Common Multiple (LCM) of 8088 and 8096 is 8185056.

LCM(8088,8096) = 8185056

LCM of 8088 and 8096

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

LCM of:
and

Least Common Multiple of 8088 and 8096

LCM of 8088 and 8096 is 8185056

Least common multiple can be found by multiplying the highest exponent prime factors of 8088 and 8096. First we will calculate the prime factors of 8088 and 8096.

Prime Factorization of 8088


2 8088
2 4044
2 2022
3 1011
337 337
1

Prime factors of 8088 are 2, 3,337. Prime factorization of 8088 in exponential form is:

8088 = 23×31×3371

Prime Factorization of 8096


2 8096
2 4048
2 2024
2 1012
2 506
11 253
23 23
1

Prime factors of 8096 are 2, 11,23. Prime factorization of 8096 in exponential form is:

8096 = 25×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8088 and 8096.

LCM(8088,8096) = 25×31×111×231×3371
LCM(8088,8096) = 8185056

Factors of 8088

List of positive integer factors of 8088 that divides 8088 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 337, 674, 1011, 1348, 2022, 2696, 4044, 8088

Factors of 8096

List of positive integer factors of 8096 that divides 8096 without a remainder.

1, 2, 4, 8, 11, 16, 22, 23, 32, 44, 46, 88, 92, 176, 184, 253, 352, 368, 506, 736, 1012, 2024, 4048, 8096

Least Common Multiple of 8088 and 8096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8088 and 8096, than apply into the LCM equation.

GCF(8088,8096) = 8
LCM(8088,8096) = ( 8088 × 8096) / 8
LCM(8088,8096) = 65480448 / 8
LCM(8088,8096) = 8185056

Properties of LCM 8088 and 8096

(i) The LCM of 8096 and 8088 is associative

LCM of 8088 and 8096 = LCM of 8096 and 8088

Related Least Common Multiples of 8088

Related Least Common Multiples of 8096

Frequently Asked Questions on LCM of 8088 and 8096

1. What is the LCM of 8088 and 8096?

Answer: LCM of 8088 and 8096 is 8185056.

2. What are the Factors of 8088?

Answer: Factors of 8088 are 1, 2, 3, 4, 6, 8, 12, 24, 337, 674, 1011, 1348, 2022, 2696, 4044, 8088. There are 16 integers that are factors of 8088. The greatest factor of 8088 is 8088.

3. What are the Factors of 8096?

Answer: Factors of 8096 are 1, 2, 4, 8, 11, 16, 22, 23, 32, 44, 46, 88, 92, 176, 184, 253, 352, 368, 506, 736, 1012, 2024, 4048, 8096. There are 24 integers that are factors of 8096. The greatest factor of 8096 is 8096.

4. How to Find the LCM of 8088 and 8096?

Answer:

Least Common Multiple of 8088 and 8096 = 8185056

Step 1: Find the prime factorization of 8088

8088 = 2 x 2 x 2 x 3 x 337

Step 2: Find the prime factorization of 8096

8096 = 2 x 2 x 2 x 2 x 2 x 11 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 = 8185056 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 23 x 337

Step 4: Therefore, the least common multiple of 8088 and 8096 is 8185056.