What is the Least Common Multiple of 19184 and 19204?

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 19184 and 19204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19184 and 19204, than apply into the LCM equation.

GCF(19184,19204) = 4
LCM(19184,19204) = ( 19184 × 19204) / 4
LCM(19184,19204) = 368409536 / 4
LCM(19184,19204) = 92102384

Least Common Multiple (LCM) of 19184 and 19204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19184 and 19204. First we will calculate the prime factors of 19184 and 19204.

Prime Factorization of 19184

Prime Factorization of 19204

Now multiplying the highest exponent prime factors to calculate the LCM of 19184 and 19204.

LCM(19184,19204) = 2⁴ × 11¹ × 109¹ × 4801¹
LCM(19184,19204) = 92102384