What is the Least Common Multiple of 47994 and 48012?

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 47994 and 48012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47994 and 48012, than apply into the LCM equation.

GCF(47994,48012) = 6
LCM(47994,48012) = ( 47994 × 48012) / 6
LCM(47994,48012) = 2304287928 / 6
LCM(47994,48012) = 384047988

Least Common Multiple (LCM) of 47994 and 48012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47994 and 48012. First we will calculate the prime factors of 47994 and 48012.

Prime Factorization of 47994

Prime Factorization of 48012

Now multiplying the highest exponent prime factors to calculate the LCM of 47994 and 48012.

LCM(47994,48012) = 2² × 3¹ × 19¹ × 421¹ × 4001¹
LCM(47994,48012) = 384047988