What is the Least Common Multiple of 18592 and 18602?

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 18592 and 18602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18592 and 18602, than apply into the LCM equation.

GCF(18592,18602) = 2
LCM(18592,18602) = ( 18592 × 18602) / 2
LCM(18592,18602) = 345848384 / 2
LCM(18592,18602) = 172924192

Least Common Multiple (LCM) of 18592 and 18602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18592 and 18602. First we will calculate the prime factors of 18592 and 18602.

Prime Factorization of 18592

Prime Factorization of 18602

Now multiplying the highest exponent prime factors to calculate the LCM of 18592 and 18602.

LCM(18592,18602) = 2⁵ × 7¹ × 83¹ × 71¹ × 131¹
LCM(18592,18602) = 172924192