What is the Least Common Multiple of 18592 and 18597?

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 18597 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 18597, than apply into the LCM equation.

GCF(18592,18597) = 1
LCM(18592,18597) = ( 18592 × 18597) / 1
LCM(18592,18597) = 345755424 / 1
LCM(18592,18597) = 345755424

Least Common Multiple (LCM) of 18592 and 18597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18592 and 18597. First we will calculate the prime factors of 18592 and 18597.

Prime Factorization of 18592

Prime Factorization of 18597

Now multiplying the highest exponent prime factors to calculate the LCM of 18592 and 18597.

LCM(18592,18597) = 2⁵ × 7¹ × 83¹ × 3¹ × 6199¹
LCM(18592,18597) = 345755424