What is the Least Common Multiple of 19270 and 19286?

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 19270 and 19286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19270 and 19286, than apply into the LCM equation.

GCF(19270,19286) = 2
LCM(19270,19286) = ( 19270 × 19286) / 2
LCM(19270,19286) = 371641220 / 2
LCM(19270,19286) = 185820610

Least Common Multiple (LCM) of 19270 and 19286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19270 and 19286. First we will calculate the prime factors of 19270 and 19286.

Prime Factorization of 19270

Prime Factorization of 19286

Now multiplying the highest exponent prime factors to calculate the LCM of 19270 and 19286.

LCM(19270,19286) = 2¹ × 5¹ × 41¹ × 47¹ × 9643¹
LCM(19270,19286) = 185820610