What is the Least Common Multiple of 78048 and 78066?

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 78048 and 78066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78048 and 78066, than apply into the LCM equation.

GCF(78048,78066) = 18
LCM(78048,78066) = ( 78048 × 78066) / 18
LCM(78048,78066) = 6092895168 / 18
LCM(78048,78066) = 338494176

Least Common Multiple (LCM) of 78048 and 78066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78048 and 78066. First we will calculate the prime factors of 78048 and 78066.

Prime Factorization of 78048

Prime Factorization of 78066

Now multiplying the highest exponent prime factors to calculate the LCM of 78048 and 78066.

LCM(78048,78066) = 2⁵ × 3² × 271¹ × 4337¹
LCM(78048,78066) = 338494176