What is the Least Common Multiple of 78336 and 78342?

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 78342 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 78342, than apply into the LCM equation.

GCF(78336,78342) = 6
LCM(78336,78342) = ( 78336 × 78342) / 6
LCM(78336,78342) = 6136998912 / 6
LCM(78336,78342) = 1022833152

Least Common Multiple (LCM) of 78336 and 78342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78336 and 78342. First we will calculate the prime factors of 78336 and 78342.

Prime Factorization of 78336

Prime Factorization of 78342

Now multiplying the highest exponent prime factors to calculate the LCM of 78336 and 78342.

LCM(78336,78342) = 2⁹ × 3² × 17¹ × 11¹ × 1187¹
LCM(78336,78342) = 1022833152