What is the Least Common Multiple of 15003 and 15018?

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 15003 and 15018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15003 and 15018, than apply into the LCM equation.

GCF(15003,15018) = 3
LCM(15003,15018) = ( 15003 × 15018) / 3
LCM(15003,15018) = 225315054 / 3
LCM(15003,15018) = 75105018

Least Common Multiple (LCM) of 15003 and 15018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15003 and 15018. First we will calculate the prime factors of 15003 and 15018.

Prime Factorization of 15003

Prime Factorization of 15018

Now multiplying the highest exponent prime factors to calculate the LCM of 15003 and 15018.

LCM(15003,15018) = 3² × 1667¹ × 2¹ × 2503¹
LCM(15003,15018) = 75105018