What is the Least Common Multiple of 19405 and 19425?

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 19405 and 19425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19405 and 19425, than apply into the LCM equation.

GCF(19405,19425) = 5
LCM(19405,19425) = ( 19405 × 19425) / 5
LCM(19405,19425) = 376942125 / 5
LCM(19405,19425) = 75388425

Least Common Multiple (LCM) of 19405 and 19425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19405 and 19425. First we will calculate the prime factors of 19405 and 19425.

Prime Factorization of 19405

Prime Factorization of 19425

Now multiplying the highest exponent prime factors to calculate the LCM of 19405 and 19425.

LCM(19405,19425) = 5² × 3881¹ × 3¹ × 7¹ × 37¹
LCM(19405,19425) = 75388425