What is the Least Common Multiple of 72993 and 73012?

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 72993 and 73012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72993 and 73012, than apply into the LCM equation.

GCF(72993,73012) = 1
LCM(72993,73012) = ( 72993 × 73012) / 1
LCM(72993,73012) = 5329364916 / 1
LCM(72993,73012) = 5329364916

Least Common Multiple (LCM) of 72993 and 73012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72993 and 73012. First we will calculate the prime factors of 72993 and 73012.

Prime Factorization of 72993

Prime Factorization of 73012

Now multiplying the highest exponent prime factors to calculate the LCM of 72993 and 73012.

LCM(72993,73012) = 3¹ × 29¹ × 839¹ × 2² × 18253¹
LCM(72993,73012) = 5329364916