GCF and LCM Calculator Logo

What is the Least Common Multiple of 8085 and 8090?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 8085 and 8090 is 13081530.

LCM(8085,8090) = 13081530

LCM Calculator and
and

Least Common Multiple of 8085 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 8085 and 8090, than apply into the LCM equation.

GCF(8085,8090) = 5
LCM(8085,8090) = ( 8085 × 8090) / 5
LCM(8085,8090) = 65407650 / 5
LCM(8085,8090) = 13081530

Least Common Multiple (LCM) of 8085 and 8090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8085 and 8090. First we will calculate the prime factors of 8085 and 8090.

Prime Factorization of 8085

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

8085 = 31 × 51 × 72 × 111

Prime Factorization of 8090

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 8085 and 8090.

LCM(8085,8090) = 31 × 51 × 72 × 111 × 21 × 8091
LCM(8085,8090) = 13081530