What is the Least Common Multiple of 47994 and 48003?

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 48003 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 48003, than apply into the LCM equation.

GCF(47994,48003) = 3
LCM(47994,48003) = ( 47994 × 48003) / 3
LCM(47994,48003) = 2303855982 / 3
LCM(47994,48003) = 767951994

Least Common Multiple (LCM) of 47994 and 48003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47994 and 48003. First we will calculate the prime factors of 47994 and 48003.

Prime Factorization of 47994

Prime Factorization of 48003

Now multiplying the highest exponent prime factors to calculate the LCM of 47994 and 48003.

LCM(47994,48003) = 2¹ × 3¹ × 19¹ × 421¹ × 16001¹
LCM(47994,48003) = 767951994