What is the Least Common Multiple of 79686 and 79695?

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 79686 and 79695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79686 and 79695, than apply into the LCM equation.

GCF(79686,79695) = 9
LCM(79686,79695) = ( 79686 × 79695) / 9
LCM(79686,79695) = 6350575770 / 9
LCM(79686,79695) = 705619530

Least Common Multiple (LCM) of 79686 and 79695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79686 and 79695. First we will calculate the prime factors of 79686 and 79695.

Prime Factorization of 79686

Prime Factorization of 79695

Now multiplying the highest exponent prime factors to calculate the LCM of 79686 and 79695.

LCM(79686,79695) = 2¹ × 3² × 19¹ × 233¹ × 5¹ × 7¹ × 11¹ × 23¹
LCM(79686,79695) = 705619530