What is the Least Common Multiple of 80005 and 80020?

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 of 80005 and 80020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80005 and 80020, than apply into the LCM equation.

GCF(80005,80020) = 5
LCM(80005,80020) = ( 80005 × 80020) / 5
LCM(80005,80020) = 6402000100 / 5
LCM(80005,80020) = 1280400020

Least Common Multiple (LCM) of 80005 and 80020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80005 and 80020. First we will calculate the prime factors of 80005 and 80020.

Prime Factorization of 80005

Prime Factorization of 80020

Now multiplying the highest exponent prime factors to calculate the LCM of 80005 and 80020.

LCM(80005,80020) = 5¹ × 16001¹ × 2² × 4001¹
LCM(80005,80020) = 1280400020