What is the Least Common Multiple of 78519 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 78519 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 78519 and 78528, than apply into the LCM equation.

GCF(78519,78528) = 3
LCM(78519,78528) = ( 78519 × 78528) / 3
LCM(78519,78528) = 6165940032 / 3
LCM(78519,78528) = 2055313344

Least Common Multiple (LCM) of 78519 and 78528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78519 and 78528. First we will calculate the prime factors of 78519 and 78528.

Prime Factorization of 78519

Prime Factorization of 78528

Now multiplying the highest exponent prime factors to calculate the LCM of 78519 and 78528.

LCM(78519,78528) = 3¹ × 7¹ × 3739¹ × 2⁶ × 409¹
LCM(78519,78528) = 2055313344