What is the Least Common Multiple of 78012 and 78024?

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 78012 and 78024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78012 and 78024, than apply into the LCM equation.

GCF(78012,78024) = 12
LCM(78012,78024) = ( 78012 × 78024) / 12
LCM(78012,78024) = 6086808288 / 12
LCM(78012,78024) = 507234024

Least Common Multiple (LCM) of 78012 and 78024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78012 and 78024. First we will calculate the prime factors of 78012 and 78024.

Prime Factorization of 78012

Prime Factorization of 78024

Now multiplying the highest exponent prime factors to calculate the LCM of 78012 and 78024.

LCM(78012,78024) = 2³ × 3² × 11¹ × 197¹ × 3251¹
LCM(78012,78024) = 507234024