What is the Least Common Multiple of 78806 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 78806 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 78806 and 78816, than apply into the LCM equation.

GCF(78806,78816) = 2
LCM(78806,78816) = ( 78806 × 78816) / 2
LCM(78806,78816) = 6211173696 / 2
LCM(78806,78816) = 3105586848

Least Common Multiple (LCM) of 78806 and 78816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78806 and 78816. First we will calculate the prime factors of 78806 and 78816.

Prime Factorization of 78806

Prime Factorization of 78816

Now multiplying the highest exponent prime factors to calculate the LCM of 78806 and 78816.

LCM(78806,78816) = 2⁵ × 7¹ × 13¹ × 433¹ × 3¹ × 821¹
LCM(78806,78816) = 3105586848