What is the Least Common Multiple of 78708 and 78723?

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 78708 and 78723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78708 and 78723, than apply into the LCM equation.

GCF(78708,78723) = 3
LCM(78708,78723) = ( 78708 × 78723) / 3
LCM(78708,78723) = 6196129884 / 3
LCM(78708,78723) = 2065376628

Least Common Multiple (LCM) of 78708 and 78723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78708 and 78723. First we will calculate the prime factors of 78708 and 78723.

Prime Factorization of 78708

Prime Factorization of 78723

Now multiplying the highest exponent prime factors to calculate the LCM of 78708 and 78723.

LCM(78708,78723) = 2² × 3² × 7¹ × 937¹ × 8747¹
LCM(78708,78723) = 2065376628