What is the Least Common Multiple of 59586 and 59592?

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 59586 and 59592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59586 and 59592, than apply into the LCM equation.

GCF(59586,59592) = 6
LCM(59586,59592) = ( 59586 × 59592) / 6
LCM(59586,59592) = 3550848912 / 6
LCM(59586,59592) = 591808152

Least Common Multiple (LCM) of 59586 and 59592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59586 and 59592. First we will calculate the prime factors of 59586 and 59592.

Prime Factorization of 59586

Prime Factorization of 59592

Now multiplying the highest exponent prime factors to calculate the LCM of 59586 and 59592.

LCM(59586,59592) = 2³ × 3¹ × 9931¹ × 13¹ × 191¹
LCM(59586,59592) = 591808152