What is the Least Common Multiple of 19365 and 19384?

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 19384 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 19384, than apply into the LCM equation.

GCF(19365,19384) = 1
LCM(19365,19384) = ( 19365 × 19384) / 1
LCM(19365,19384) = 375371160 / 1
LCM(19365,19384) = 375371160

Least Common Multiple (LCM) of 19365 and 19384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19365 and 19384. First we will calculate the prime factors of 19365 and 19384.

Prime Factorization of 19365

Prime Factorization of 19384

Now multiplying the highest exponent prime factors to calculate the LCM of 19365 and 19384.

LCM(19365,19384) = 3¹ × 5¹ × 1291¹ × 2³ × 2423¹
LCM(19365,19384) = 375371160