What is the Least Common Multiple of 75012 and 75019?

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 75012 and 75019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75012 and 75019, than apply into the LCM equation.

GCF(75012,75019) = 7
LCM(75012,75019) = ( 75012 × 75019) / 7
LCM(75012,75019) = 5627325228 / 7
LCM(75012,75019) = 803903604

Least Common Multiple (LCM) of 75012 and 75019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75012 and 75019. First we will calculate the prime factors of 75012 and 75019.

Prime Factorization of 75012

Prime Factorization of 75019

Now multiplying the highest exponent prime factors to calculate the LCM of 75012 and 75019.

LCM(75012,75019) = 2² × 3¹ × 7² × 19¹ × 47¹ × 1531¹
LCM(75012,75019) = 803903604