What is the Least Common Multiple of 78804 and 78816?

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 78804 and 78816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78804 and 78816, than apply into the LCM equation.

GCF(78804,78816) = 12
LCM(78804,78816) = ( 78804 × 78816) / 12
LCM(78804,78816) = 6211016064 / 12
LCM(78804,78816) = 517584672

Least Common Multiple (LCM) of 78804 and 78816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78804 and 78816. First we will calculate the prime factors of 78804 and 78816.

Prime Factorization of 78804

Prime Factorization of 78816

Now multiplying the highest exponent prime factors to calculate the LCM of 78804 and 78816.

LCM(78804,78816) = 2⁵ × 3² × 11¹ × 199¹ × 821¹
LCM(78804,78816) = 517584672