What is the Least Common Multiple of 48378 and 48396?

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 48378 and 48396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48378 and 48396, than apply into the LCM equation.

GCF(48378,48396) = 6
LCM(48378,48396) = ( 48378 × 48396) / 6
LCM(48378,48396) = 2341301688 / 6
LCM(48378,48396) = 390216948

Least Common Multiple (LCM) of 48378 and 48396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48378 and 48396. First we will calculate the prime factors of 48378 and 48396.

Prime Factorization of 48378

Prime Factorization of 48396

Now multiplying the highest exponent prime factors to calculate the LCM of 48378 and 48396.

LCM(48378,48396) = 2² × 3¹ × 11¹ × 733¹ × 37¹ × 109¹
LCM(48378,48396) = 390216948