What is the Least Common Multiple of 55704 and 55716?

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 55716 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 55716, than apply into the LCM equation.

GCF(55704,55716) = 12
LCM(55704,55716) = ( 55704 × 55716) / 12
LCM(55704,55716) = 3103604064 / 12
LCM(55704,55716) = 258633672

Least Common Multiple (LCM) of 55704 and 55716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55704 and 55716. First we will calculate the prime factors of 55704 and 55716.

Prime Factorization of 55704

Prime Factorization of 55716

Now multiplying the highest exponent prime factors to calculate the LCM of 55704 and 55716.

LCM(55704,55716) = 2³ × 3¹ × 11¹ × 211¹ × 4643¹
LCM(55704,55716) = 258633672