What is the Least Common Multiple of 19275 and 19287?

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 19275 and 19287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19275 and 19287, than apply into the LCM equation.

GCF(19275,19287) = 3
LCM(19275,19287) = ( 19275 × 19287) / 3
LCM(19275,19287) = 371756925 / 3
LCM(19275,19287) = 123918975

Least Common Multiple (LCM) of 19275 and 19287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19275 and 19287. First we will calculate the prime factors of 19275 and 19287.

Prime Factorization of 19275

Prime Factorization of 19287

Now multiplying the highest exponent prime factors to calculate the LCM of 19275 and 19287.

LCM(19275,19287) = 3² × 5² × 257¹ × 2143¹
LCM(19275,19287) = 123918975