What is the Least Common Multiple of 55575 and 55584?

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 55575 and 55584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55575 and 55584, than apply into the LCM equation.

GCF(55575,55584) = 9
LCM(55575,55584) = ( 55575 × 55584) / 9
LCM(55575,55584) = 3089080800 / 9
LCM(55575,55584) = 343231200

Least Common Multiple (LCM) of 55575 and 55584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55575 and 55584. First we will calculate the prime factors of 55575 and 55584.

Prime Factorization of 55575

Prime Factorization of 55584

Now multiplying the highest exponent prime factors to calculate the LCM of 55575 and 55584.

LCM(55575,55584) = 3² × 5² × 13¹ × 19¹ × 2⁵ × 193¹
LCM(55575,55584) = 343231200