What is the Least Common Multiple of 18577 and 18592?

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 18577 and 18592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18577 and 18592, than apply into the LCM equation.

GCF(18577,18592) = 1
LCM(18577,18592) = ( 18577 × 18592) / 1
LCM(18577,18592) = 345383584 / 1
LCM(18577,18592) = 345383584

Least Common Multiple (LCM) of 18577 and 18592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18577 and 18592. First we will calculate the prime factors of 18577 and 18592.

Prime Factorization of 18577

Prime Factorization of 18592

Now multiplying the highest exponent prime factors to calculate the LCM of 18577 and 18592.

LCM(18577,18592) = 13¹ × 1429¹ × 2⁵ × 7¹ × 83¹
LCM(18577,18592) = 345383584