What is the Least Common Multiple of 78528 and 78539?

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 78539 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 78539, than apply into the LCM equation.

GCF(78528,78539) = 1
LCM(78528,78539) = ( 78528 × 78539) / 1
LCM(78528,78539) = 6167510592 / 1
LCM(78528,78539) = 6167510592

Least Common Multiple (LCM) of 78528 and 78539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78528 and 78539. First we will calculate the prime factors of 78528 and 78539.

Prime Factorization of 78528

Prime Factorization of 78539

Now multiplying the highest exponent prime factors to calculate the LCM of 78528 and 78539.

LCM(78528,78539) = 2⁶ × 3¹ × 409¹ × 78539¹
LCM(78528,78539) = 6167510592