What is the Least Common Multiple of 19365 and 19375?

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 19365 and 19375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19365 and 19375, than apply into the LCM equation.

GCF(19365,19375) = 5
LCM(19365,19375) = ( 19365 × 19375) / 5
LCM(19365,19375) = 375196875 / 5
LCM(19365,19375) = 75039375

Least Common Multiple (LCM) of 19365 and 19375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19365 and 19375. First we will calculate the prime factors of 19365 and 19375.

Prime Factorization of 19365

Prime Factorization of 19375

Now multiplying the highest exponent prime factors to calculate the LCM of 19365 and 19375.

LCM(19365,19375) = 3¹ × 5⁴ × 1291¹ × 31¹
LCM(19365,19375) = 75039375