What is the Least Common Multiple of 19284 and 19293?

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 19293 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 19293, than apply into the LCM equation.

GCF(19284,19293) = 3
LCM(19284,19293) = ( 19284 × 19293) / 3
LCM(19284,19293) = 372046212 / 3
LCM(19284,19293) = 124015404

Least Common Multiple (LCM) of 19284 and 19293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19284 and 19293. First we will calculate the prime factors of 19284 and 19293.

Prime Factorization of 19284

Prime Factorization of 19293

Now multiplying the highest exponent prime factors to calculate the LCM of 19284 and 19293.

LCM(19284,19293) = 2² × 3¹ × 1607¹ × 59¹ × 109¹
LCM(19284,19293) = 124015404