What is the Least Common Multiple of 19392 and 19404?

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 19392 and 19404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19392 and 19404, than apply into the LCM equation.

GCF(19392,19404) = 12
LCM(19392,19404) = ( 19392 × 19404) / 12
LCM(19392,19404) = 376282368 / 12
LCM(19392,19404) = 31356864

Least Common Multiple (LCM) of 19392 and 19404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19392 and 19404. First we will calculate the prime factors of 19392 and 19404.

Prime Factorization of 19392

Prime Factorization of 19404

Now multiplying the highest exponent prime factors to calculate the LCM of 19392 and 19404.

LCM(19392,19404) = 2⁶ × 3² × 101¹ × 7² × 11¹
LCM(19392,19404) = 31356864