What is the Least Common Multiple of 63184 and 63199?

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 63184 and 63199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63184 and 63199, than apply into the LCM equation.

GCF(63184,63199) = 1
LCM(63184,63199) = ( 63184 × 63199) / 1
LCM(63184,63199) = 3993165616 / 1
LCM(63184,63199) = 3993165616

Least Common Multiple (LCM) of 63184 and 63199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63184 and 63199. First we will calculate the prime factors of 63184 and 63199.

Prime Factorization of 63184

Prime Factorization of 63199

Now multiplying the highest exponent prime factors to calculate the LCM of 63184 and 63199.

LCM(63184,63199) = 2⁴ × 11¹ × 359¹ × 63199¹
LCM(63184,63199) = 3993165616