What is the Least Common Multiple of 32184 and 32199?

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 32184 and 32199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32184 and 32199, than apply into the LCM equation.

GCF(32184,32199) = 3
LCM(32184,32199) = ( 32184 × 32199) / 3
LCM(32184,32199) = 1036292616 / 3
LCM(32184,32199) = 345430872

Least Common Multiple (LCM) of 32184 and 32199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32184 and 32199. First we will calculate the prime factors of 32184 and 32199.

Prime Factorization of 32184

Prime Factorization of 32199

Now multiplying the highest exponent prime factors to calculate the LCM of 32184 and 32199.

LCM(32184,32199) = 2³ × 3³ × 149¹ × 10733¹
LCM(32184,32199) = 345430872