What is the Least Common Multiple of 39005 and 39020?

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 39005 and 39020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39005 and 39020, than apply into the LCM equation.

GCF(39005,39020) = 5
LCM(39005,39020) = ( 39005 × 39020) / 5
LCM(39005,39020) = 1521975100 / 5
LCM(39005,39020) = 304395020

Least Common Multiple (LCM) of 39005 and 39020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39005 and 39020. First we will calculate the prime factors of 39005 and 39020.

Prime Factorization of 39005

Prime Factorization of 39020

Now multiplying the highest exponent prime factors to calculate the LCM of 39005 and 39020.

LCM(39005,39020) = 5¹ × 29¹ × 269¹ × 2² × 1951¹
LCM(39005,39020) = 304395020