What is the Least Common Multiple of 74604 and 74618?

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 74604 and 74618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74604 and 74618, than apply into the LCM equation.

GCF(74604,74618) = 2
LCM(74604,74618) = ( 74604 × 74618) / 2
LCM(74604,74618) = 5566801272 / 2
LCM(74604,74618) = 2783400636

Least Common Multiple (LCM) of 74604 and 74618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74604 and 74618. First we will calculate the prime factors of 74604 and 74618.

Prime Factorization of 74604

Prime Factorization of 74618

Now multiplying the highest exponent prime factors to calculate the LCM of 74604 and 74618.

LCM(74604,74618) = 2² × 3¹ × 6217¹ × 37309¹
LCM(74604,74618) = 2783400636