What is the Least Common Multiple of 78150 and 78165?

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 78150 and 78165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78150 and 78165, than apply into the LCM equation.

GCF(78150,78165) = 15
LCM(78150,78165) = ( 78150 × 78165) / 15
LCM(78150,78165) = 6108594750 / 15
LCM(78150,78165) = 407239650

Least Common Multiple (LCM) of 78150 and 78165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78150 and 78165. First we will calculate the prime factors of 78150 and 78165.

Prime Factorization of 78150

Prime Factorization of 78165

Now multiplying the highest exponent prime factors to calculate the LCM of 78150 and 78165.

LCM(78150,78165) = 2¹ × 3⁴ × 5² × 521¹ × 193¹
LCM(78150,78165) = 407239650