What is the Least Common Multiple of 32608 and 32618?

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 32608 and 32618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32608 and 32618, than apply into the LCM equation.

GCF(32608,32618) = 2
LCM(32608,32618) = ( 32608 × 32618) / 2
LCM(32608,32618) = 1063607744 / 2
LCM(32608,32618) = 531803872

Least Common Multiple (LCM) of 32608 and 32618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32608 and 32618. First we will calculate the prime factors of 32608 and 32618.

Prime Factorization of 32608

Prime Factorization of 32618

Now multiplying the highest exponent prime factors to calculate the LCM of 32608 and 32618.

LCM(32608,32618) = 2⁵ × 1019¹ × 47¹ × 347¹
LCM(32608,32618) = 531803872