What is the Least Common Multiple of 48600 and 48618?

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 48600 and 48618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48600 and 48618, than apply into the LCM equation.

GCF(48600,48618) = 18
LCM(48600,48618) = ( 48600 × 48618) / 18
LCM(48600,48618) = 2362834800 / 18
LCM(48600,48618) = 131268600

Least Common Multiple (LCM) of 48600 and 48618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48600 and 48618. First we will calculate the prime factors of 48600 and 48618.

Prime Factorization of 48600

Prime Factorization of 48618

Now multiplying the highest exponent prime factors to calculate the LCM of 48600 and 48618.

LCM(48600,48618) = 2³ × 3⁵ × 5² × 37¹ × 73¹
LCM(48600,48618) = 131268600