What is the Least Common Multiple of 19256 and 19266?

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 19256 and 19266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19256 and 19266, than apply into the LCM equation.

GCF(19256,19266) = 2
LCM(19256,19266) = ( 19256 × 19266) / 2
LCM(19256,19266) = 370986096 / 2
LCM(19256,19266) = 185493048

Least Common Multiple (LCM) of 19256 and 19266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19256 and 19266. First we will calculate the prime factors of 19256 and 19266.

Prime Factorization of 19256

Prime Factorization of 19266

Now multiplying the highest exponent prime factors to calculate the LCM of 19256 and 19266.

LCM(19256,19266) = 2³ × 29¹ × 83¹ × 3¹ × 13² × 19¹
LCM(19256,19266) = 185493048