Least Common Multiple of 8086 and 8087

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8086 and 8087 the smallest integer that is 65391482 that is divisible by both numbers.

Least Common Multiple (LCM) of 8086 and 8087 is 65391482.

LCM(8086,8087) = 65391482

LCM of 8086 and 8087

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

LCM of:
and

Least Common Multiple of 8086 and 8087

LCM of 8086 and 8087 is 65391482

Least common multiple can be found by multiplying the highest exponent prime factors of 8086 and 8087. First we will calculate the prime factors of 8086 and 8087.

Prime Factorization of 8086


2 8086
13 4043
311 311
1

Prime factors of 8086 are 2, 13,311. Prime factorization of 8086 in exponential form is:

8086 = 21×131×3111

Prime Factorization of 8087


8087 8087
1

Prime factors of 8087 are 8087. Prime factorization of 8087 in exponential form is:

8087 = 80871

Now multiplying the highest exponent prime factors to calculate the LCM of 8086 and 8087.

LCM(8086,8087) = 21×131×3111×80871
LCM(8086,8087) = 65391482

Factors of 8086

List of positive integer factors of 8086 that divides 8086 without a remainder.

1, 2, 13, 26, 311, 622, 4043, 8086

Factors of 8087

List of positive integer factors of 8087 that divides 8087 without a remainder.

1, 8087

Least Common Multiple of 8086 and 8087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8086 and 8087, than apply into the LCM equation.

GCF(8086,8087) = 1
LCM(8086,8087) = ( 8086 × 8087) / 1
LCM(8086,8087) = 65391482 / 1
LCM(8086,8087) = 65391482

Properties of LCM 8086 and 8087

(i) The LCM of 8087 and 8086 is associative

LCM of 8086 and 8087 = LCM of 8087 and 8086

Related Least Common Multiples of 8086

Related Least Common Multiples of 8087

Frequently Asked Questions on LCM of 8086 and 8087

1. What is the LCM of 8086 and 8087?

Answer: LCM of 8086 and 8087 is 65391482.

2. What are the Factors of 8086?

Answer: Factors of 8086 are 1, 2, 13, 26, 311, 622, 4043, 8086. There are 8 integers that are factors of 8086. The greatest factor of 8086 is 8086.

3. What are the Factors of 8087?

Answer: Factors of 8087 are 1, 8087. There are 2 integers that are factors of 8087. The greatest factor of 8087 is 8087.

4. How to Find the LCM of 8086 and 8087?

Answer:

Least Common Multiple of 8086 and 8087 = 65391482

Step 1: Find the prime factorization of 8086

8086 = 2 x 13 x 311

Step 2: Find the prime factorization of 8087

8087 = 8087

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

LCM = 65391482 = 2 x 13 x 311 x 8087

Step 4: Therefore, the least common multiple of 8086 and 8087 is 65391482.