What is the Least Common Multiple of 57608 and 57618?

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 57608 and 57618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57608 and 57618, than apply into the LCM equation.

GCF(57608,57618) = 2
LCM(57608,57618) = ( 57608 × 57618) / 2
LCM(57608,57618) = 3319257744 / 2
LCM(57608,57618) = 1659628872

Least Common Multiple (LCM) of 57608 and 57618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57608 and 57618. First we will calculate the prime factors of 57608 and 57618.

Prime Factorization of 57608

Prime Factorization of 57618

Now multiplying the highest exponent prime factors to calculate the LCM of 57608 and 57618.

LCM(57608,57618) = 2³ × 19¹ × 379¹ × 3³ × 11¹ × 97¹
LCM(57608,57618) = 1659628872