What is the Least Common Multiple of 19272 and 19284?

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 19272 and 19284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19272 and 19284, than apply into the LCM equation.

GCF(19272,19284) = 12
LCM(19272,19284) = ( 19272 × 19284) / 12
LCM(19272,19284) = 371641248 / 12
LCM(19272,19284) = 30970104

Least Common Multiple (LCM) of 19272 and 19284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19272 and 19284. First we will calculate the prime factors of 19272 and 19284.

Prime Factorization of 19272

Prime Factorization of 19284

Now multiplying the highest exponent prime factors to calculate the LCM of 19272 and 19284.

LCM(19272,19284) = 2³ × 3¹ × 11¹ × 73¹ × 1607¹
LCM(19272,19284) = 30970104