What is the Least Common Multiple of 78165 and 78185?

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 78165 and 78185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78165 and 78185, than apply into the LCM equation.

GCF(78165,78185) = 5
LCM(78165,78185) = ( 78165 × 78185) / 5
LCM(78165,78185) = 6111330525 / 5
LCM(78165,78185) = 1222266105

Least Common Multiple (LCM) of 78165 and 78185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78165 and 78185. First we will calculate the prime factors of 78165 and 78185.

Prime Factorization of 78165

Prime Factorization of 78185

Now multiplying the highest exponent prime factors to calculate the LCM of 78165 and 78185.

LCM(78165,78185) = 3⁴ × 5¹ × 193¹ × 19¹ × 823¹
LCM(78165,78185) = 1222266105