What is the Least Common Multiple of 94005 and 94020?

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 94005 and 94020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94005 and 94020, than apply into the LCM equation.

GCF(94005,94020) = 15
LCM(94005,94020) = ( 94005 × 94020) / 15
LCM(94005,94020) = 8838350100 / 15
LCM(94005,94020) = 589223340

Least Common Multiple (LCM) of 94005 and 94020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94005 and 94020. First we will calculate the prime factors of 94005 and 94020.

Prime Factorization of 94005

Prime Factorization of 94020

Now multiplying the highest exponent prime factors to calculate the LCM of 94005 and 94020.

LCM(94005,94020) = 3² × 5¹ × 2089¹ × 2² × 1567¹
LCM(94005,94020) = 589223340