What is the Least Common Multiple of 78776 and 78794?

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 78776 and 78794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78776 and 78794, than apply into the LCM equation.

GCF(78776,78794) = 2
LCM(78776,78794) = ( 78776 × 78794) / 2
LCM(78776,78794) = 6207076144 / 2
LCM(78776,78794) = 3103538072

Least Common Multiple (LCM) of 78776 and 78794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78776 and 78794. First we will calculate the prime factors of 78776 and 78794.

Prime Factorization of 78776

Prime Factorization of 78794

Now multiplying the highest exponent prime factors to calculate the LCM of 78776 and 78794.

LCM(78776,78794) = 2³ × 43¹ × 229¹ × 39397¹
LCM(78776,78794) = 3103538072