What is the Least Common Multiple of 48375 and 48386?

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 48375 and 48386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48375 and 48386, than apply into the LCM equation.

GCF(48375,48386) = 1
LCM(48375,48386) = ( 48375 × 48386) / 1
LCM(48375,48386) = 2340672750 / 1
LCM(48375,48386) = 2340672750

Least Common Multiple (LCM) of 48375 and 48386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48375 and 48386. First we will calculate the prime factors of 48375 and 48386.

Prime Factorization of 48375

Prime Factorization of 48386

Now multiplying the highest exponent prime factors to calculate the LCM of 48375 and 48386.

LCM(48375,48386) = 3² × 5³ × 43¹ × 2¹ × 13¹ × 1861¹
LCM(48375,48386) = 2340672750