What is the Least Common Multiple of 30594 and 30603?

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 30594 and 30603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30594 and 30603, than apply into the LCM equation.

GCF(30594,30603) = 3
LCM(30594,30603) = ( 30594 × 30603) / 3
LCM(30594,30603) = 936268182 / 3
LCM(30594,30603) = 312089394

Least Common Multiple (LCM) of 30594 and 30603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30594 and 30603. First we will calculate the prime factors of 30594 and 30603.

Prime Factorization of 30594

Prime Factorization of 30603

Now multiplying the highest exponent prime factors to calculate the LCM of 30594 and 30603.

LCM(30594,30603) = 2¹ × 3¹ × 5099¹ × 101²
LCM(30594,30603) = 312089394