What is the Least Common Multiple of 79686 and 79699?

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 79699 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 79699, than apply into the LCM equation.

GCF(79686,79699) = 1
LCM(79686,79699) = ( 79686 × 79699) / 1
LCM(79686,79699) = 6350894514 / 1
LCM(79686,79699) = 6350894514

Least Common Multiple (LCM) of 79686 and 79699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79686 and 79699. First we will calculate the prime factors of 79686 and 79699.

Prime Factorization of 79686

Prime Factorization of 79699

Now multiplying the highest exponent prime factors to calculate the LCM of 79686 and 79699.

LCM(79686,79699) = 2¹ × 3² × 19¹ × 233¹ × 79699¹
LCM(79686,79699) = 6350894514