What is the Least Common Multiple of 30597 and 30612?

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 30597 and 30612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30597 and 30612, than apply into the LCM equation.

GCF(30597,30612) = 3
LCM(30597,30612) = ( 30597 × 30612) / 3
LCM(30597,30612) = 936635364 / 3
LCM(30597,30612) = 312211788

Least Common Multiple (LCM) of 30597 and 30612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30597 and 30612. First we will calculate the prime factors of 30597 and 30612.

Prime Factorization of 30597

Prime Factorization of 30612

Now multiplying the highest exponent prime factors to calculate the LCM of 30597 and 30612.

LCM(30597,30612) = 3¹ × 7¹ × 31¹ × 47¹ × 2² × 2551¹
LCM(30597,30612) = 312211788