What is the Least Common Multiple of 55788 and 55808?

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 55788 and 55808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55788 and 55808, than apply into the LCM equation.

GCF(55788,55808) = 4
LCM(55788,55808) = ( 55788 × 55808) / 4
LCM(55788,55808) = 3113416704 / 4
LCM(55788,55808) = 778354176

Least Common Multiple (LCM) of 55788 and 55808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55788 and 55808. First we will calculate the prime factors of 55788 and 55808.

Prime Factorization of 55788

Prime Factorization of 55808

Now multiplying the highest exponent prime factors to calculate the LCM of 55788 and 55808.

LCM(55788,55808) = 2⁹ × 3¹ × 4649¹ × 109¹
LCM(55788,55808) = 778354176