What is the Least Common Multiple of 78066 and 78075?

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 78066 and 78075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78066 and 78075, than apply into the LCM equation.

GCF(78066,78075) = 9
LCM(78066,78075) = ( 78066 × 78075) / 9
LCM(78066,78075) = 6095002950 / 9
LCM(78066,78075) = 677222550

Least Common Multiple (LCM) of 78066 and 78075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78066 and 78075. First we will calculate the prime factors of 78066 and 78075.

Prime Factorization of 78066

Prime Factorization of 78075

Now multiplying the highest exponent prime factors to calculate the LCM of 78066 and 78075.

LCM(78066,78075) = 2¹ × 3² × 4337¹ × 5² × 347¹
LCM(78066,78075) = 677222550