What is the Least Common Multiple of 55719 and 55728?

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 55719 and 55728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55719 and 55728, than apply into the LCM equation.

GCF(55719,55728) = 9
LCM(55719,55728) = ( 55719 × 55728) / 9
LCM(55719,55728) = 3105108432 / 9
LCM(55719,55728) = 345012048

Least Common Multiple (LCM) of 55719 and 55728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55719 and 55728. First we will calculate the prime factors of 55719 and 55728.

Prime Factorization of 55719

Prime Factorization of 55728

Now multiplying the highest exponent prime factors to calculate the LCM of 55719 and 55728.

LCM(55719,55728) = 3⁴ × 41¹ × 151¹ × 2⁴ × 43¹
LCM(55719,55728) = 345012048