What is the Least Common Multiple of 19250 and 19256?

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 19250 and 19256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19250 and 19256, than apply into the LCM equation.

GCF(19250,19256) = 2
LCM(19250,19256) = ( 19250 × 19256) / 2
LCM(19250,19256) = 370678000 / 2
LCM(19250,19256) = 185339000

Least Common Multiple (LCM) of 19250 and 19256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19250 and 19256. First we will calculate the prime factors of 19250 and 19256.

Prime Factorization of 19250

Prime Factorization of 19256

Now multiplying the highest exponent prime factors to calculate the LCM of 19250 and 19256.

LCM(19250,19256) = 2³ × 5³ × 7¹ × 11¹ × 29¹ × 83¹
LCM(19250,19256) = 185339000