What is the Least Common Multiple of 30378 and 30396?

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 30378 and 30396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30378 and 30396, than apply into the LCM equation.

GCF(30378,30396) = 6
LCM(30378,30396) = ( 30378 × 30396) / 6
LCM(30378,30396) = 923369688 / 6
LCM(30378,30396) = 153894948

Least Common Multiple (LCM) of 30378 and 30396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30378 and 30396. First we will calculate the prime factors of 30378 and 30396.

Prime Factorization of 30378

Prime Factorization of 30396

Now multiplying the highest exponent prime factors to calculate the LCM of 30378 and 30396.

LCM(30378,30396) = 2² × 3¹ × 61¹ × 83¹ × 17¹ × 149¹
LCM(30378,30396) = 153894948