What is the Least Common Multiple of 19264 and 19271?

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 19271 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 19271, than apply into the LCM equation.

GCF(19264,19271) = 7
LCM(19264,19271) = ( 19264 × 19271) / 7
LCM(19264,19271) = 371236544 / 7
LCM(19264,19271) = 53033792

Least Common Multiple (LCM) of 19264 and 19271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19264 and 19271. First we will calculate the prime factors of 19264 and 19271.

Prime Factorization of 19264

Prime Factorization of 19271

Now multiplying the highest exponent prime factors to calculate the LCM of 19264 and 19271.

LCM(19264,19271) = 2⁶ × 7¹ × 43¹ × 2753¹
LCM(19264,19271) = 53033792