Least Common Multiple of 8096 and 8098

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8096 and 8098 the smallest integer that is 32780704 that is divisible by both numbers.

Least Common Multiple (LCM) of 8096 and 8098 is 32780704.

LCM(8096,8098) = 32780704

LCM of 8096 and 8098

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

LCM of:
and

Least Common Multiple of 8096 and 8098

LCM of 8096 and 8098 is 32780704

Least common multiple can be found by multiplying the highest exponent prime factors of 8096 and 8098. First we will calculate the prime factors of 8096 and 8098.

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

Prime Factorization of 8098


2 8098
4049 4049
1

Prime factors of 8098 are 2,4049. Prime factorization of 8098 in exponential form is:

8098 = 21×40491

Now multiplying the highest exponent prime factors to calculate the LCM of 8096 and 8098.

LCM(8096,8098) = 25×111×231×40491
LCM(8096,8098) = 32780704

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

Factors of 8098

List of positive integer factors of 8098 that divides 8098 without a remainder.

1, 2, 4049, 8098

Least Common Multiple of 8096 and 8098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8096 and 8098, than apply into the LCM equation.

GCF(8096,8098) = 2
LCM(8096,8098) = ( 8096 × 8098) / 2
LCM(8096,8098) = 65561408 / 2
LCM(8096,8098) = 32780704

Properties of LCM 8096 and 8098

(i) The LCM of 8098 and 8096 is associative

LCM of 8096 and 8098 = LCM of 8098 and 8096

Related Least Common Multiples of 8096

Related Least Common Multiples of 8098

Frequently Asked Questions on LCM of 8096 and 8098

1. What is the LCM of 8096 and 8098?

Answer: LCM of 8096 and 8098 is 32780704.

2. 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.

3. What are the Factors of 8098?

Answer: Factors of 8098 are 1, 2, 4049, 8098. There are 4 integers that are factors of 8098. The greatest factor of 8098 is 8098.

4. How to Find the LCM of 8096 and 8098?

Answer:

Least Common Multiple of 8096 and 8098 = 32780704

Step 1: Find the prime factorization of 8096

8096 = 2 x 2 x 2 x 2 x 2 x 11 x 23

Step 2: Find the prime factorization of 8098

8098 = 2 x 4049

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

LCM = 32780704 = 2 x 2 x 2 x 2 x 2 x 11 x 23 x 4049

Step 4: Therefore, the least common multiple of 8096 and 8098 is 32780704.