What is the Least Common Multiple of 20618 and 20636?

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 20618 and 20636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20618 and 20636, than apply into the LCM equation.

GCF(20618,20636) = 2
LCM(20618,20636) = ( 20618 × 20636) / 2
LCM(20618,20636) = 425473048 / 2
LCM(20618,20636) = 212736524

Least Common Multiple (LCM) of 20618 and 20636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20618 and 20636. First we will calculate the prime factors of 20618 and 20636.

Prime Factorization of 20618

Prime Factorization of 20636

Now multiplying the highest exponent prime factors to calculate the LCM of 20618 and 20636.

LCM(20618,20636) = 2² × 13² × 61¹ × 7¹ × 11¹ × 67¹
LCM(20618,20636) = 212736524