What is the Least Common Multiple of 19242 and 19257?

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 19242 and 19257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19242 and 19257, than apply into the LCM equation.

GCF(19242,19257) = 3
LCM(19242,19257) = ( 19242 × 19257) / 3
LCM(19242,19257) = 370543194 / 3
LCM(19242,19257) = 123514398

Least Common Multiple (LCM) of 19242 and 19257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19242 and 19257. First we will calculate the prime factors of 19242 and 19257.

Prime Factorization of 19242

Prime Factorization of 19257

Now multiplying the highest exponent prime factors to calculate the LCM of 19242 and 19257.

LCM(19242,19257) = 2¹ × 3² × 1069¹ × 7² × 131¹
LCM(19242,19257) = 123514398