What is the Least Common Multiple of 8005 and 8020?

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 8005 and 8020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8005 and 8020, than apply into the LCM equation.

GCF(8005,8020) = 5
LCM(8005,8020) = ( 8005 × 8020) / 5
LCM(8005,8020) = 64200100 / 5
LCM(8005,8020) = 12840020

Least Common Multiple (LCM) of 8005 and 8020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8005 and 8020. First we will calculate the prime factors of 8005 and 8020.

Prime Factorization of 8005

Prime Factorization of 8020

Now multiplying the highest exponent prime factors to calculate the LCM of 8005 and 8020.

LCM(8005,8020) = 5¹ × 1601¹ × 2² × 401¹
LCM(8005,8020) = 12840020