What is the Least Common Multiple of 7704 and 7710?

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 7704 and 7710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7704 and 7710, than apply into the LCM equation.

GCF(7704,7710) = 6
LCM(7704,7710) = ( 7704 × 7710) / 6
LCM(7704,7710) = 59397840 / 6
LCM(7704,7710) = 9899640

Least Common Multiple (LCM) of 7704 and 7710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7704 and 7710. First we will calculate the prime factors of 7704 and 7710.

Prime Factorization of 7704

Prime Factorization of 7710

Now multiplying the highest exponent prime factors to calculate the LCM of 7704 and 7710.

LCM(7704,7710) = 2³ × 3² × 107¹ × 5¹ × 257¹
LCM(7704,7710) = 9899640