What is the Least Common Multiple of 78512 and 78528?

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 78512 and 78528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78512 and 78528, than apply into the LCM equation.

GCF(78512,78528) = 16
LCM(78512,78528) = ( 78512 × 78528) / 16
LCM(78512,78528) = 6165390336 / 16
LCM(78512,78528) = 385336896

Least Common Multiple (LCM) of 78512 and 78528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78512 and 78528. First we will calculate the prime factors of 78512 and 78528.

Prime Factorization of 78512

Prime Factorization of 78528

Now multiplying the highest exponent prime factors to calculate the LCM of 78512 and 78528.

LCM(78512,78528) = 2⁶ × 7¹ × 701¹ × 3¹ × 409¹
LCM(78512,78528) = 385336896