What is the Least Common Multiple of 72012 and 72021?

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 72012 and 72021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72012 and 72021, than apply into the LCM equation.

GCF(72012,72021) = 3
LCM(72012,72021) = ( 72012 × 72021) / 3
LCM(72012,72021) = 5186376252 / 3
LCM(72012,72021) = 1728792084

Least Common Multiple (LCM) of 72012 and 72021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72012 and 72021. First we will calculate the prime factors of 72012 and 72021.

Prime Factorization of 72012

Prime Factorization of 72021

Now multiplying the highest exponent prime factors to calculate the LCM of 72012 and 72021.

LCM(72012,72021) = 2² × 3¹ × 17¹ × 353¹ × 24007¹
LCM(72012,72021) = 1728792084