Least Common Multiple of 8090 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 8090 and 8096 the smallest integer that is 32748320 that is divisible by both numbers.

Least Common Multiple (LCM) of 8090 and 8096 is 32748320.

LCM(8090,8096) = 32748320

LCM of 8090 and 8096

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

LCM of:
and

Least Common Multiple of 8090 and 8096

LCM of 8090 and 8096 is 32748320

Least common multiple can be found by multiplying the highest exponent prime factors of 8090 and 8096. First we will calculate the prime factors of 8090 and 8096.

Prime Factorization of 8090


2 8090
5 4045
809 809
1

Prime factors of 8090 are 2, 5,809. Prime factorization of 8090 in exponential form is:

8090 = 21×51×8091

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 8090 and 8096.

LCM(8090,8096) = 25×51×111×231×8091
LCM(8090,8096) = 32748320

Factors of 8090

List of positive integer factors of 8090 that divides 8090 without a remainder.

1, 2, 5, 10, 809, 1618, 4045, 8090

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 8090 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 8090 and 8096, than apply into the LCM equation.

GCF(8090,8096) = 2
LCM(8090,8096) = ( 8090 × 8096) / 2
LCM(8090,8096) = 65496640 / 2
LCM(8090,8096) = 32748320

Properties of LCM 8090 and 8096

(i) The LCM of 8096 and 8090 is associative

LCM of 8090 and 8096 = LCM of 8096 and 8090

Related Least Common Multiples of 8090

Related Least Common Multiples of 8096

Frequently Asked Questions on LCM of 8090 and 8096

1. What is the LCM of 8090 and 8096?

Answer: LCM of 8090 and 8096 is 32748320.

2. What are the Factors of 8090?

Answer: Factors of 8090 are 1, 2, 5, 10, 809, 1618, 4045, 8090. There are 8 integers that are factors of 8090. The greatest factor of 8090 is 8090.

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 8090 and 8096?

Answer:

Least Common Multiple of 8090 and 8096 = 32748320

Step 1: Find the prime factorization of 8090

8090 = 2 x 5 x 809

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 = 32748320 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 23 x 809

Step 4: Therefore, the least common multiple of 8090 and 8096 is 32748320.