What is the Least Common Multiple of 85184 and 85194?

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 85184 and 85194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85184 and 85194, than apply into the LCM equation.

GCF(85184,85194) = 2
LCM(85184,85194) = ( 85184 × 85194) / 2
LCM(85184,85194) = 7257165696 / 2
LCM(85184,85194) = 3628582848

Least Common Multiple (LCM) of 85184 and 85194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85184 and 85194. First we will calculate the prime factors of 85184 and 85194.

Prime Factorization of 85184

Prime Factorization of 85194

Now multiplying the highest exponent prime factors to calculate the LCM of 85184 and 85194.

LCM(85184,85194) = 2⁶ × 11³ × 3² × 4733¹
LCM(85184,85194) = 3628582848