What is the Least Common Multiple of 89184 and 89199?

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 89184 and 89199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89184 and 89199, than apply into the LCM equation.

GCF(89184,89199) = 3
LCM(89184,89199) = ( 89184 × 89199) / 3
LCM(89184,89199) = 7955123616 / 3
LCM(89184,89199) = 2651707872

Least Common Multiple (LCM) of 89184 and 89199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89184 and 89199. First we will calculate the prime factors of 89184 and 89199.

Prime Factorization of 89184

Prime Factorization of 89199

Now multiplying the highest exponent prime factors to calculate the LCM of 89184 and 89199.

LCM(89184,89199) = 2⁵ × 3² × 929¹ × 11¹ × 17¹ × 53¹
LCM(89184,89199) = 2651707872