Least Common Multiple of 8080 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 8080 and 8085 the smallest integer that is 13065360 that is divisible by both numbers.

Least Common Multiple (LCM) of 8080 and 8085 is 13065360.

LCM(8080,8085) = 13065360

LCM of 8080 and 8085

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

LCM of:
and

Least Common Multiple of 8080 and 8085

LCM of 8080 and 8085 is 13065360

Least common multiple can be found by multiplying the highest exponent prime factors of 8080 and 8085. First we will calculate the prime factors of 8080 and 8085.

Prime Factorization of 8080


2 8080
2 4040
2 2020
2 1010
5 505
101 101
1

Prime factors of 8080 are 2, 5,101. Prime factorization of 8080 in exponential form is:

8080 = 24×51×1011

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 8080 and 8085.

LCM(8080,8085) = 24×31×51×72×111×1011
LCM(8080,8085) = 13065360

Factors of 8080

List of positive integer factors of 8080 that divides 8080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 101, 202, 404, 505, 808, 1010, 1616, 2020, 4040, 8080

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 8080 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 8080 and 8085, than apply into the LCM equation.

GCF(8080,8085) = 5
LCM(8080,8085) = ( 8080 × 8085) / 5
LCM(8080,8085) = 65326800 / 5
LCM(8080,8085) = 13065360

Properties of LCM 8080 and 8085

(i) The LCM of 8085 and 8080 is associative

LCM of 8080 and 8085 = LCM of 8085 and 8080

Related Least Common Multiples of 8080

Related Least Common Multiples of 8085

Frequently Asked Questions on LCM of 8080 and 8085

1. What is the LCM of 8080 and 8085?

Answer: LCM of 8080 and 8085 is 13065360.

2. What are the Factors of 8080?

Answer: Factors of 8080 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 101, 202, 404, 505, 808, 1010, 1616, 2020, 4040, 8080. There are 20 integers that are factors of 8080. The greatest factor of 8080 is 8080.

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 8080 and 8085?

Answer:

Least Common Multiple of 8080 and 8085 = 13065360

Step 1: Find the prime factorization of 8080

8080 = 2 x 2 x 2 x 2 x 5 x 101

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 = 13065360 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 11 x 101

Step 4: Therefore, the least common multiple of 8080 and 8085 is 13065360.