What is the Least Common Multiple of 15018 and 15031?

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 15018 and 15031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15018 and 15031, than apply into the LCM equation.

GCF(15018,15031) = 1
LCM(15018,15031) = ( 15018 × 15031) / 1
LCM(15018,15031) = 225735558 / 1
LCM(15018,15031) = 225735558

Least Common Multiple (LCM) of 15018 and 15031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15018 and 15031. First we will calculate the prime factors of 15018 and 15031.

Prime Factorization of 15018

Prime Factorization of 15031

Now multiplying the highest exponent prime factors to calculate the LCM of 15018 and 15031.

LCM(15018,15031) = 2¹ × 3¹ × 2503¹ × 15031¹
LCM(15018,15031) = 225735558