What is the Least Common Multiple of 78285 and 78290?

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 78285 and 78290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78285 and 78290, than apply into the LCM equation.

GCF(78285,78290) = 5
LCM(78285,78290) = ( 78285 × 78290) / 5
LCM(78285,78290) = 6128932650 / 5
LCM(78285,78290) = 1225786530

Least Common Multiple (LCM) of 78285 and 78290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78285 and 78290. First we will calculate the prime factors of 78285 and 78290.

Prime Factorization of 78285

Prime Factorization of 78290

Now multiplying the highest exponent prime factors to calculate the LCM of 78285 and 78290.

LCM(78285,78290) = 3¹ × 5¹ × 17¹ × 307¹ × 2¹ × 7829¹
LCM(78285,78290) = 1225786530