What is the Least Common Multiple of 81603 and 81618?

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 81603 and 81618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81603 and 81618, than apply into the LCM equation.

GCF(81603,81618) = 3
LCM(81603,81618) = ( 81603 × 81618) / 3
LCM(81603,81618) = 6660273654 / 3
LCM(81603,81618) = 2220091218

Least Common Multiple (LCM) of 81603 and 81618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81603 and 81618. First we will calculate the prime factors of 81603 and 81618.

Prime Factorization of 81603

Prime Factorization of 81618

Now multiplying the highest exponent prime factors to calculate the LCM of 81603 and 81618.

LCM(81603,81618) = 3² × 9067¹ × 2¹ × 61¹ × 223¹
LCM(81603,81618) = 2220091218