What is the Least Common Multiple of 7704 and 7708?

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 7708 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 7708, than apply into the LCM equation.

GCF(7704,7708) = 4
LCM(7704,7708) = ( 7704 × 7708) / 4
LCM(7704,7708) = 59382432 / 4
LCM(7704,7708) = 14845608

Least Common Multiple (LCM) of 7704 and 7708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7704 and 7708. First we will calculate the prime factors of 7704 and 7708.

Prime Factorization of 7704

Prime Factorization of 7708

Now multiplying the highest exponent prime factors to calculate the LCM of 7704 and 7708.

LCM(7704,7708) = 2³ × 3² × 107¹ × 41¹ × 47¹
LCM(7704,7708) = 14845608