What is the Least Common Multiple of 19284 and 19304?

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 19284 and 19304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19284 and 19304, than apply into the LCM equation.

GCF(19284,19304) = 4
LCM(19284,19304) = ( 19284 × 19304) / 4
LCM(19284,19304) = 372258336 / 4
LCM(19284,19304) = 93064584

Least Common Multiple (LCM) of 19284 and 19304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19284 and 19304. First we will calculate the prime factors of 19284 and 19304.

Prime Factorization of 19284

Prime Factorization of 19304

Now multiplying the highest exponent prime factors to calculate the LCM of 19284 and 19304.

LCM(19284,19304) = 2³ × 3¹ × 1607¹ × 19¹ × 127¹
LCM(19284,19304) = 93064584