What is the Least Common Multiple of 55704 and 55719?

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 55704 and 55719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55704 and 55719, than apply into the LCM equation.

GCF(55704,55719) = 3
LCM(55704,55719) = ( 55704 × 55719) / 3
LCM(55704,55719) = 3103771176 / 3
LCM(55704,55719) = 1034590392

Least Common Multiple (LCM) of 55704 and 55719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55704 and 55719. First we will calculate the prime factors of 55704 and 55719.

Prime Factorization of 55704

Prime Factorization of 55719

Now multiplying the highest exponent prime factors to calculate the LCM of 55704 and 55719.

LCM(55704,55719) = 2³ × 3² × 11¹ × 211¹ × 41¹ × 151¹
LCM(55704,55719) = 1034590392