What is the Least Common Multiple of 30478 and 30498?

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 30478 and 30498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30478 and 30498, than apply into the LCM equation.

GCF(30478,30498) = 2
LCM(30478,30498) = ( 30478 × 30498) / 2
LCM(30478,30498) = 929518044 / 2
LCM(30478,30498) = 464759022

Least Common Multiple (LCM) of 30478 and 30498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30478 and 30498. First we will calculate the prime factors of 30478 and 30498.

Prime Factorization of 30478

Prime Factorization of 30498

Now multiplying the highest exponent prime factors to calculate the LCM of 30478 and 30498.

LCM(30478,30498) = 2¹ × 7² × 311¹ × 3¹ × 13¹ × 17¹ × 23¹
LCM(30478,30498) = 464759022