What is the Least Common Multiple of 71184 and 71199?

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 71184 and 71199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71184 and 71199, than apply into the LCM equation.

GCF(71184,71199) = 3
LCM(71184,71199) = ( 71184 × 71199) / 3
LCM(71184,71199) = 5068229616 / 3
LCM(71184,71199) = 1689409872

Least Common Multiple (LCM) of 71184 and 71199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71184 and 71199. First we will calculate the prime factors of 71184 and 71199.

Prime Factorization of 71184

Prime Factorization of 71199

Now multiplying the highest exponent prime factors to calculate the LCM of 71184 and 71199.

LCM(71184,71199) = 2⁴ × 3⁵ × 1483¹ × 293¹
LCM(71184,71199) = 1689409872