What is the Least Common Multiple of 55588 and 55592?

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 55588 and 55592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55588 and 55592, than apply into the LCM equation.

GCF(55588,55592) = 4
LCM(55588,55592) = ( 55588 × 55592) / 4
LCM(55588,55592) = 3090248096 / 4
LCM(55588,55592) = 772562024

Least Common Multiple (LCM) of 55588 and 55592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55588 and 55592. First we will calculate the prime factors of 55588 and 55592.

Prime Factorization of 55588

Prime Factorization of 55592

Now multiplying the highest exponent prime factors to calculate the LCM of 55588 and 55592.

LCM(55588,55592) = 2³ × 13¹ × 1069¹ × 6949¹
LCM(55588,55592) = 772562024