Least Common Multiple of 8084 and 8092

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 8092 the smallest integer that is 16353932 that is divisible by both numbers.

Least Common Multiple (LCM) of 8084 and 8092 is 16353932.

LCM(8084,8092) = 16353932

LCM of 8084 and 8092

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

LCM of:
and

Least Common Multiple of 8084 and 8092

LCM of 8084 and 8092 is 16353932

Least common multiple can be found by multiplying the highest exponent prime factors of 8084 and 8092. First we will calculate the prime factors of 8084 and 8092.

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 8092


2 8092
2 4046
7 2023
17 289
17 17
1

Prime factors of 8092 are 2, 7,17. Prime factorization of 8092 in exponential form is:

8092 = 22×71×172

Now multiplying the highest exponent prime factors to calculate the LCM of 8084 and 8092.

LCM(8084,8092) = 22×71×172×431×471
LCM(8084,8092) = 16353932

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 8092

List of positive integer factors of 8092 that divides 8092 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092

Least Common Multiple of 8084 and 8092 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 8092, than apply into the LCM equation.

GCF(8084,8092) = 4
LCM(8084,8092) = ( 8084 × 8092) / 4
LCM(8084,8092) = 65415728 / 4
LCM(8084,8092) = 16353932

Properties of LCM 8084 and 8092

(i) The LCM of 8092 and 8084 is associative

LCM of 8084 and 8092 = LCM of 8092 and 8084

Related Least Common Multiples of 8084

Related Least Common Multiples of 8092

Frequently Asked Questions on LCM of 8084 and 8092

1. What is the LCM of 8084 and 8092?

Answer: LCM of 8084 and 8092 is 16353932.

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 8092?

Answer: Factors of 8092 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092. There are 18 integers that are factors of 8092. The greatest factor of 8092 is 8092.

4. How to Find the LCM of 8084 and 8092?

Answer:

Least Common Multiple of 8084 and 8092 = 16353932

Step 1: Find the prime factorization of 8084

8084 = 2 x 2 x 43 x 47

Step 2: Find the prime factorization of 8092

8092 = 2 x 2 x 7 x 17 x 17

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

LCM = 16353932 = 2 x 2 x 7 x 17 x 17 x 43 x 47

Step 4: Therefore, the least common multiple of 8084 and 8092 is 16353932.