Least Common Multiple of 8084 and 8085

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 8085 the smallest integer that is 65359140 that is divisible by both numbers.

Least Common Multiple (LCM) of 8084 and 8085 is 65359140.

LCM(8084,8085) = 65359140

LCM of 8084 and 8085

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

LCM of:
and

Least Common Multiple of 8084 and 8085

LCM of 8084 and 8085 is 65359140

Least common multiple can be found by multiplying the highest exponent prime factors of 8084 and 8085. First we will calculate the prime factors of 8084 and 8085.

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 8085


3 8085
5 2695
7 539
7 77
11 11
1

Prime factors of 8085 are 3, 5, 7,11. Prime factorization of 8085 in exponential form is:

8085 = 31×51×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 8084 and 8085.

LCM(8084,8085) = 22×31×51×72×111×431×471
LCM(8084,8085) = 65359140

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 8085

List of positive integer factors of 8085 that divides 8085 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 147, 165, 231, 245, 385, 539, 735, 1155, 1617, 2695, 8085

Least Common Multiple of 8084 and 8085 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 8085, than apply into the LCM equation.

GCF(8084,8085) = 1
LCM(8084,8085) = ( 8084 × 8085) / 1
LCM(8084,8085) = 65359140 / 1
LCM(8084,8085) = 65359140

Properties of LCM 8084 and 8085

(i) The LCM of 8085 and 8084 is associative

LCM of 8084 and 8085 = LCM of 8085 and 8084

Related Least Common Multiples of 8084

Related Least Common Multiples of 8085

Frequently Asked Questions on LCM of 8084 and 8085

1. What is the LCM of 8084 and 8085?

Answer: LCM of 8084 and 8085 is 65359140.

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 8085?

Answer: Factors of 8085 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 147, 165, 231, 245, 385, 539, 735, 1155, 1617, 2695, 8085. There are 24 integers that are factors of 8085. The greatest factor of 8085 is 8085.

4. How to Find the LCM of 8084 and 8085?

Answer:

Least Common Multiple of 8084 and 8085 = 65359140

Step 1: Find the prime factorization of 8084

8084 = 2 x 2 x 43 x 47

Step 2: Find the prime factorization of 8085

8085 = 3 x 5 x 7 x 7 x 11

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

LCM = 65359140 = 2 x 2 x 3 x 5 x 7 x 7 x 11 x 43 x 47

Step 4: Therefore, the least common multiple of 8084 and 8085 is 65359140.