What is the Least Common Multiple of 48075 and 48093?

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 48075 and 48093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48075 and 48093, than apply into the LCM equation.

GCF(48075,48093) = 3
LCM(48075,48093) = ( 48075 × 48093) / 3
LCM(48075,48093) = 2312070975 / 3
LCM(48075,48093) = 770690325

Least Common Multiple (LCM) of 48075 and 48093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48075 and 48093. First we will calculate the prime factors of 48075 and 48093.

Prime Factorization of 48075

Prime Factorization of 48093

Now multiplying the highest exponent prime factors to calculate the LCM of 48075 and 48093.

LCM(48075,48093) = 3¹ × 5² × 641¹ × 17¹ × 23¹ × 41¹
LCM(48075,48093) = 770690325