What is the Least Common Multiple of 55644 and 55656?

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 55644 and 55656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55644 and 55656, than apply into the LCM equation.

GCF(55644,55656) = 12
LCM(55644,55656) = ( 55644 × 55656) / 12
LCM(55644,55656) = 3096922464 / 12
LCM(55644,55656) = 258076872

Least Common Multiple (LCM) of 55644 and 55656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55644 and 55656. First we will calculate the prime factors of 55644 and 55656.

Prime Factorization of 55644

Prime Factorization of 55656

Now multiplying the highest exponent prime factors to calculate the LCM of 55644 and 55656.

LCM(55644,55656) = 2³ × 3² × 4637¹ × 773¹
LCM(55644,55656) = 258076872