What is the Least Common Multiple of 30582 and 30597?

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 30582 and 30597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30582 and 30597, than apply into the LCM equation.

GCF(30582,30597) = 3
LCM(30582,30597) = ( 30582 × 30597) / 3
LCM(30582,30597) = 935717454 / 3
LCM(30582,30597) = 311905818

Least Common Multiple (LCM) of 30582 and 30597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30582 and 30597. First we will calculate the prime factors of 30582 and 30597.

Prime Factorization of 30582

Prime Factorization of 30597

Now multiplying the highest exponent prime factors to calculate the LCM of 30582 and 30597.

LCM(30582,30597) = 2¹ × 3² × 1699¹ × 7¹ × 31¹ × 47¹
LCM(30582,30597) = 311905818