What is the Least Common Multiple of 55584 and 55593?

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 55584 and 55593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55584 and 55593, than apply into the LCM equation.

GCF(55584,55593) = 9
LCM(55584,55593) = ( 55584 × 55593) / 9
LCM(55584,55593) = 3090081312 / 9
LCM(55584,55593) = 343342368

Least Common Multiple (LCM) of 55584 and 55593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55584 and 55593. First we will calculate the prime factors of 55584 and 55593.

Prime Factorization of 55584

Prime Factorization of 55593

Now multiplying the highest exponent prime factors to calculate the LCM of 55584 and 55593.

LCM(55584,55593) = 2⁵ × 3³ × 193¹ × 29¹ × 71¹
LCM(55584,55593) = 343342368