Least Common Multiple of 8084 and 8090

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 8090 the smallest integer that is 32699780 that is divisible by both numbers.

Least Common Multiple (LCM) of 8084 and 8090 is 32699780.

LCM(8084,8090) = 32699780

LCM of 8084 and 8090

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

LCM of:
and

Least Common Multiple of 8084 and 8090

LCM of 8084 and 8090 is 32699780

Least common multiple can be found by multiplying the highest exponent prime factors of 8084 and 8090. First we will calculate the prime factors of 8084 and 8090.

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 8090


2 8090
5 4045
809 809
1

Prime factors of 8090 are 2, 5,809. Prime factorization of 8090 in exponential form is:

8090 = 21×51×8091

Now multiplying the highest exponent prime factors to calculate the LCM of 8084 and 8090.

LCM(8084,8090) = 22×51×431×471×8091
LCM(8084,8090) = 32699780

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 8090

List of positive integer factors of 8090 that divides 8090 without a remainder.

1, 2, 5, 10, 809, 1618, 4045, 8090

Least Common Multiple of 8084 and 8090 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 8090, than apply into the LCM equation.

GCF(8084,8090) = 2
LCM(8084,8090) = ( 8084 × 8090) / 2
LCM(8084,8090) = 65399560 / 2
LCM(8084,8090) = 32699780

Properties of LCM 8084 and 8090

(i) The LCM of 8090 and 8084 is associative

LCM of 8084 and 8090 = LCM of 8090 and 8084

Related Least Common Multiples of 8084

Related Least Common Multiples of 8090

Frequently Asked Questions on LCM of 8084 and 8090

1. What is the LCM of 8084 and 8090?

Answer: LCM of 8084 and 8090 is 32699780.

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 8090?

Answer: Factors of 8090 are 1, 2, 5, 10, 809, 1618, 4045, 8090. There are 8 integers that are factors of 8090. The greatest factor of 8090 is 8090.

4. How to Find the LCM of 8084 and 8090?

Answer:

Least Common Multiple of 8084 and 8090 = 32699780

Step 1: Find the prime factorization of 8084

8084 = 2 x 2 x 43 x 47

Step 2: Find the prime factorization of 8090

8090 = 2 x 5 x 809

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

LCM = 32699780 = 2 x 2 x 5 x 43 x 47 x 809

Step 4: Therefore, the least common multiple of 8084 and 8090 is 32699780.