Least Common Multiple of 8081 and 8084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8081 and 8084 the smallest integer that is 65326804 that is divisible by both numbers.

Least Common Multiple (LCM) of 8081 and 8084 is 65326804.

LCM(8081,8084) = 65326804

LCM of 8081 and 8084

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

LCM of:
and

Least Common Multiple of 8081 and 8084

LCM of 8081 and 8084 is 65326804

Least common multiple can be found by multiplying the highest exponent prime factors of 8081 and 8084. First we will calculate the prime factors of 8081 and 8084.

Prime Factorization of 8081


8081 8081
1

Prime factors of 8081 are 8081. Prime factorization of 8081 in exponential form is:

8081 = 80811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8081 and 8084.

LCM(8081,8084) = 22×431×471×80811
LCM(8081,8084) = 65326804

Factors of 8081

List of positive integer factors of 8081 that divides 8081 without a remainder.

1, 8081

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

Least Common Multiple of 8081 and 8084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8081 and 8084, than apply into the LCM equation.

GCF(8081,8084) = 1
LCM(8081,8084) = ( 8081 × 8084) / 1
LCM(8081,8084) = 65326804 / 1
LCM(8081,8084) = 65326804

Properties of LCM 8081 and 8084

(i) The LCM of 8084 and 8081 is associative

LCM of 8081 and 8084 = LCM of 8084 and 8081

Related Least Common Multiples of 8081

Related Least Common Multiples of 8084

Frequently Asked Questions on LCM of 8081 and 8084

1. What is the LCM of 8081 and 8084?

Answer: LCM of 8081 and 8084 is 65326804.

2. What are the Factors of 8081?

Answer: Factors of 8081 are 1, 8081. There are 2 integers that are factors of 8081. The greatest factor of 8081 is 8081.

3. 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.

4. How to Find the LCM of 8081 and 8084?

Answer:

Least Common Multiple of 8081 and 8084 = 65326804

Step 1: Find the prime factorization of 8081

8081 = 8081

Step 2: Find the prime factorization of 8084

8084 = 2 x 2 x 43 x 47

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

LCM = 65326804 = 2 x 2 x 43 x 47 x 8081

Step 4: Therefore, the least common multiple of 8081 and 8084 is 65326804.