What is the Least Common Multiple of 7686 and 7704?

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 7704 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 7704, than apply into the LCM equation.

GCF(7686,7704) = 18
LCM(7686,7704) = ( 7686 × 7704) / 18
LCM(7686,7704) = 59212944 / 18
LCM(7686,7704) = 3289608

Least Common Multiple (LCM) of 7686 and 7704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7686 and 7704. First we will calculate the prime factors of 7686 and 7704.

Prime Factorization of 7686

Prime Factorization of 7704

Now multiplying the highest exponent prime factors to calculate the LCM of 7686 and 7704.

LCM(7686,7704) = 2³ × 3² × 7¹ × 61¹ × 107¹
LCM(7686,7704) = 3289608