What is the Least Common Multiple of 78645 and 78660?

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 78645 and 78660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78645 and 78660, than apply into the LCM equation.

GCF(78645,78660) = 15
LCM(78645,78660) = ( 78645 × 78660) / 15
LCM(78645,78660) = 6186215700 / 15
LCM(78645,78660) = 412414380

Least Common Multiple (LCM) of 78645 and 78660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78645 and 78660. First we will calculate the prime factors of 78645 and 78660.

Prime Factorization of 78645

Prime Factorization of 78660

Now multiplying the highest exponent prime factors to calculate the LCM of 78645 and 78660.

LCM(78645,78660) = 3² × 5¹ × 7² × 107¹ × 2² × 19¹ × 23¹
LCM(78645,78660) = 412414380