What is the Least Common Multiple of 7686 and 7705?

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 7686 and 7705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7686 and 7705, than apply into the LCM equation.

GCF(7686,7705) = 1
LCM(7686,7705) = ( 7686 × 7705) / 1
LCM(7686,7705) = 59220630 / 1
LCM(7686,7705) = 59220630

Least Common Multiple (LCM) of 7686 and 7705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7686 and 7705. First we will calculate the prime factors of 7686 and 7705.

Prime Factorization of 7686

Prime Factorization of 7705

Now multiplying the highest exponent prime factors to calculate the LCM of 7686 and 7705.

LCM(7686,7705) = 2¹ × 3² × 7¹ × 61¹ × 5¹ × 23¹ × 67¹
LCM(7686,7705) = 59220630