What is the Least Common Multiple of 60618 and 60636?

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 60618 and 60636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60618 and 60636, than apply into the LCM equation.

GCF(60618,60636) = 6
LCM(60618,60636) = ( 60618 × 60636) / 6
LCM(60618,60636) = 3675633048 / 6
LCM(60618,60636) = 612605508

Least Common Multiple (LCM) of 60618 and 60636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60618 and 60636. First we will calculate the prime factors of 60618 and 60636.

Prime Factorization of 60618

Prime Factorization of 60636

Now multiplying the highest exponent prime factors to calculate the LCM of 60618 and 60636.

LCM(60618,60636) = 2² × 3¹ × 10103¹ × 31¹ × 163¹
LCM(60618,60636) = 612605508