What is the Least Common Multiple of 78336 and 78351?

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 78336 and 78351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78336 and 78351, than apply into the LCM equation.

GCF(78336,78351) = 3
LCM(78336,78351) = ( 78336 × 78351) / 3
LCM(78336,78351) = 6137703936 / 3
LCM(78336,78351) = 2045901312

Least Common Multiple (LCM) of 78336 and 78351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78336 and 78351. First we will calculate the prime factors of 78336 and 78351.

Prime Factorization of 78336

Prime Factorization of 78351

Now multiplying the highest exponent prime factors to calculate the LCM of 78336 and 78351.

LCM(78336,78351) = 2⁹ × 3² × 17¹ × 7² × 13¹ × 41¹
LCM(78336,78351) = 2045901312