What is the Least Common Multiple of 66306 and 66321?

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 66306 and 66321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66306 and 66321, than apply into the LCM equation.

GCF(66306,66321) = 3
LCM(66306,66321) = ( 66306 × 66321) / 3
LCM(66306,66321) = 4397480226 / 3
LCM(66306,66321) = 1465826742

Least Common Multiple (LCM) of 66306 and 66321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66306 and 66321. First we will calculate the prime factors of 66306 and 66321.

Prime Factorization of 66306

Prime Factorization of 66321

Now multiplying the highest exponent prime factors to calculate the LCM of 66306 and 66321.

LCM(66306,66321) = 2¹ × 3² × 43¹ × 257¹ × 7369¹
LCM(66306,66321) = 1465826742