What is the Least Common Multiple of 64608 and 64618?

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 64608 and 64618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64608 and 64618, than apply into the LCM equation.

GCF(64608,64618) = 2
LCM(64608,64618) = ( 64608 × 64618) / 2
LCM(64608,64618) = 4174839744 / 2
LCM(64608,64618) = 2087419872

Least Common Multiple (LCM) of 64608 and 64618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64608 and 64618. First we will calculate the prime factors of 64608 and 64618.

Prime Factorization of 64608

Prime Factorization of 64618

Now multiplying the highest exponent prime factors to calculate the LCM of 64608 and 64618.

LCM(64608,64618) = 2⁵ × 3¹ × 673¹ × 32309¹
LCM(64608,64618) = 2087419872