What is the Least Common Multiple of 78592 and 78612?

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 78592 and 78612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78592 and 78612, than apply into the LCM equation.

GCF(78592,78612) = 4
LCM(78592,78612) = ( 78592 × 78612) / 4
LCM(78592,78612) = 6178274304 / 4
LCM(78592,78612) = 1544568576

Least Common Multiple (LCM) of 78592 and 78612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78592 and 78612. First we will calculate the prime factors of 78592 and 78612.

Prime Factorization of 78592

Prime Factorization of 78612

Now multiplying the highest exponent prime factors to calculate the LCM of 78592 and 78612.

LCM(78592,78612) = 2⁸ × 307¹ × 3¹ × 6551¹
LCM(78592,78612) = 1544568576