What is the Least Common Multiple of 48150 and 48165?

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 48150 and 48165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48150 and 48165, than apply into the LCM equation.

GCF(48150,48165) = 15
LCM(48150,48165) = ( 48150 × 48165) / 15
LCM(48150,48165) = 2319144750 / 15
LCM(48150,48165) = 154609650

Least Common Multiple (LCM) of 48150 and 48165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48150 and 48165. First we will calculate the prime factors of 48150 and 48165.

Prime Factorization of 48150

Prime Factorization of 48165

Now multiplying the highest exponent prime factors to calculate the LCM of 48150 and 48165.

LCM(48150,48165) = 2¹ × 3² × 5² × 107¹ × 13² × 19¹
LCM(48150,48165) = 154609650