What is the Least Common Multiple of 30008 and 30018?

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 30008 and 30018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30008 and 30018, than apply into the LCM equation.

GCF(30008,30018) = 2
LCM(30008,30018) = ( 30008 × 30018) / 2
LCM(30008,30018) = 900780144 / 2
LCM(30008,30018) = 450390072

Least Common Multiple (LCM) of 30008 and 30018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30008 and 30018. First we will calculate the prime factors of 30008 and 30018.

Prime Factorization of 30008

Prime Factorization of 30018

Now multiplying the highest exponent prime factors to calculate the LCM of 30008 and 30018.

LCM(30008,30018) = 2³ × 11² × 31¹ × 3¹ × 5003¹
LCM(30008,30018) = 450390072