What is the Least Common Multiple of 30384 and 30388?

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 30384 and 30388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30384 and 30388, than apply into the LCM equation.

GCF(30384,30388) = 4
LCM(30384,30388) = ( 30384 × 30388) / 4
LCM(30384,30388) = 923308992 / 4
LCM(30384,30388) = 230827248

Least Common Multiple (LCM) of 30384 and 30388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30384 and 30388. First we will calculate the prime factors of 30384 and 30388.

Prime Factorization of 30384

Prime Factorization of 30388

Now multiplying the highest exponent prime factors to calculate the LCM of 30384 and 30388.

LCM(30384,30388) = 2⁴ × 3² × 211¹ × 71¹ × 107¹
LCM(30384,30388) = 230827248