What is the Least Common Multiple of 19235 and 19250?

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 19235 and 19250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19235 and 19250, than apply into the LCM equation.

GCF(19235,19250) = 5
LCM(19235,19250) = ( 19235 × 19250) / 5
LCM(19235,19250) = 370273750 / 5
LCM(19235,19250) = 74054750

Least Common Multiple (LCM) of 19235 and 19250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19235 and 19250. First we will calculate the prime factors of 19235 and 19250.

Prime Factorization of 19235

Prime Factorization of 19250

Now multiplying the highest exponent prime factors to calculate the LCM of 19235 and 19250.

LCM(19235,19250) = 5³ × 3847¹ × 2¹ × 7¹ × 11¹
LCM(19235,19250) = 74054750