What is the Least Common Multiple of 84184 and 84199?

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 84184 and 84199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84184 and 84199, than apply into the LCM equation.

GCF(84184,84199) = 1
LCM(84184,84199) = ( 84184 × 84199) / 1
LCM(84184,84199) = 7088208616 / 1
LCM(84184,84199) = 7088208616

Least Common Multiple (LCM) of 84184 and 84199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84184 and 84199. First we will calculate the prime factors of 84184 and 84199.

Prime Factorization of 84184

Prime Factorization of 84199

Now multiplying the highest exponent prime factors to calculate the LCM of 84184 and 84199.

LCM(84184,84199) = 2³ × 17¹ × 619¹ × 84199¹
LCM(84184,84199) = 7088208616