What is the Least Common Multiple of 74008 and 74018?

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 74008 and 74018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74008 and 74018, than apply into the LCM equation.

GCF(74008,74018) = 2
LCM(74008,74018) = ( 74008 × 74018) / 2
LCM(74008,74018) = 5477924144 / 2
LCM(74008,74018) = 2738962072

Least Common Multiple (LCM) of 74008 and 74018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74008 and 74018. First we will calculate the prime factors of 74008 and 74018.

Prime Factorization of 74008

Prime Factorization of 74018

Now multiplying the highest exponent prime factors to calculate the LCM of 74008 and 74018.

LCM(74008,74018) = 2³ × 11¹ × 29² × 7¹ × 17¹ × 311¹
LCM(74008,74018) = 2738962072