What is the Least Common Multiple of 30278 and 30294?

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 30278 and 30294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30278 and 30294, than apply into the LCM equation.

GCF(30278,30294) = 2
LCM(30278,30294) = ( 30278 × 30294) / 2
LCM(30278,30294) = 917241732 / 2
LCM(30278,30294) = 458620866

Least Common Multiple (LCM) of 30278 and 30294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30278 and 30294. First we will calculate the prime factors of 30278 and 30294.

Prime Factorization of 30278

Prime Factorization of 30294

Now multiplying the highest exponent prime factors to calculate the LCM of 30278 and 30294.

LCM(30278,30294) = 2¹ × 15139¹ × 3⁴ × 11¹ × 17¹
LCM(30278,30294) = 458620866