What is the Least Common Multiple of 19264 and 19275?

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 19264 and 19275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19264 and 19275, than apply into the LCM equation.

GCF(19264,19275) = 1
LCM(19264,19275) = ( 19264 × 19275) / 1
LCM(19264,19275) = 371313600 / 1
LCM(19264,19275) = 371313600

Least Common Multiple (LCM) of 19264 and 19275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19264 and 19275. First we will calculate the prime factors of 19264 and 19275.

Prime Factorization of 19264

Prime Factorization of 19275

Now multiplying the highest exponent prime factors to calculate the LCM of 19264 and 19275.

LCM(19264,19275) = 2⁶ × 7¹ × 43¹ × 3¹ × 5² × 257¹
LCM(19264,19275) = 371313600