What is the Least Common Multiple of 78528 and 78543?

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 78528 and 78543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78528 and 78543, than apply into the LCM equation.

GCF(78528,78543) = 3
LCM(78528,78543) = ( 78528 × 78543) / 3
LCM(78528,78543) = 6167824704 / 3
LCM(78528,78543) = 2055941568

Least Common Multiple (LCM) of 78528 and 78543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78528 and 78543. First we will calculate the prime factors of 78528 and 78543.

Prime Factorization of 78528

Prime Factorization of 78543

Now multiplying the highest exponent prime factors to calculate the LCM of 78528 and 78543.

LCM(78528,78543) = 2⁶ × 3³ × 409¹ × 2909¹
LCM(78528,78543) = 2055941568