Least Common Multiple of 8084 and 8086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8084 and 8086 the smallest integer that is 32683612 that is divisible by both numbers.

Least Common Multiple (LCM) of 8084 and 8086 is 32683612.

LCM(8084,8086) = 32683612

LCM of 8084 and 8086

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

LCM of:
and

Least Common Multiple of 8084 and 8086

LCM of 8084 and 8086 is 32683612

Least common multiple can be found by multiplying the highest exponent prime factors of 8084 and 8086. First we will calculate the prime factors of 8084 and 8086.

Prime Factorization of 8084


2 8084
2 4042
43 2021
47 47
1

Prime factors of 8084 are 2, 43,47. Prime factorization of 8084 in exponential form is:

8084 = 22×431×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8084 and 8086.

LCM(8084,8086) = 22×131×431×471×3111
LCM(8084,8086) = 32683612

Factors of 8084

List of positive integer factors of 8084 that divides 8084 without a remainder.

1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084

Factors of 8086

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

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

Least Common Multiple of 8084 and 8086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8084 and 8086, than apply into the LCM equation.

GCF(8084,8086) = 2
LCM(8084,8086) = ( 8084 × 8086) / 2
LCM(8084,8086) = 65367224 / 2
LCM(8084,8086) = 32683612

Properties of LCM 8084 and 8086

(i) The LCM of 8086 and 8084 is associative

LCM of 8084 and 8086 = LCM of 8086 and 8084

Related Least Common Multiples of 8084

Related Least Common Multiples of 8086

Frequently Asked Questions on LCM of 8084 and 8086

1. What is the LCM of 8084 and 8086?

Answer: LCM of 8084 and 8086 is 32683612.

2. What are the Factors of 8084?

Answer: Factors of 8084 are 1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084. There are 12 integers that are factors of 8084. The greatest factor of 8084 is 8084.

3. 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.

4. How to Find the LCM of 8084 and 8086?

Answer:

Least Common Multiple of 8084 and 8086 = 32683612

Step 1: Find the prime factorization of 8084

8084 = 2 x 2 x 43 x 47

Step 2: Find the prime factorization of 8086

8086 = 2 x 13 x 311

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

LCM = 32683612 = 2 x 2 x 13 x 43 x 47 x 311

Step 4: Therefore, the least common multiple of 8084 and 8086 is 32683612.