What is the Least Common Multiple of 48084 and 48094?

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 48084 and 48094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48084 and 48094, than apply into the LCM equation.

GCF(48084,48094) = 2
LCM(48084,48094) = ( 48084 × 48094) / 2
LCM(48084,48094) = 2312551896 / 2
LCM(48084,48094) = 1156275948

Least Common Multiple (LCM) of 48084 and 48094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48084 and 48094. First we will calculate the prime factors of 48084 and 48094.

Prime Factorization of 48084

Prime Factorization of 48094

Now multiplying the highest exponent prime factors to calculate the LCM of 48084 and 48094.

LCM(48084,48094) = 2² × 3¹ × 4007¹ × 139¹ × 173¹
LCM(48084,48094) = 1156275948