What is the Least Common Multiple of 19257 and 19264?

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 19257 and 19264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19257 and 19264, than apply into the LCM equation.

GCF(19257,19264) = 7
LCM(19257,19264) = ( 19257 × 19264) / 7
LCM(19257,19264) = 370966848 / 7
LCM(19257,19264) = 52995264

Least Common Multiple (LCM) of 19257 and 19264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19257 and 19264. First we will calculate the prime factors of 19257 and 19264.

Prime Factorization of 19257

Prime Factorization of 19264

Now multiplying the highest exponent prime factors to calculate the LCM of 19257 and 19264.

LCM(19257,19264) = 3¹ × 7² × 131¹ × 2⁶ × 43¹
LCM(19257,19264) = 52995264