What is the Least Common Multiple of 18592 and 18603?

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 18603 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 18603, than apply into the LCM equation.

GCF(18592,18603) = 1
LCM(18592,18603) = ( 18592 × 18603) / 1
LCM(18592,18603) = 345866976 / 1
LCM(18592,18603) = 345866976

Least Common Multiple (LCM) of 18592 and 18603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18592 and 18603. First we will calculate the prime factors of 18592 and 18603.

Prime Factorization of 18592

Prime Factorization of 18603

Now multiplying the highest exponent prime factors to calculate the LCM of 18592 and 18603.

LCM(18592,18603) = 2⁵ × 7¹ × 83¹ × 3³ × 13¹ × 53¹
LCM(18592,18603) = 345866976