What is the Least Common Multiple of 66189 and 66198?

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 66189 and 66198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66189 and 66198, than apply into the LCM equation.

GCF(66189,66198) = 3
LCM(66189,66198) = ( 66189 × 66198) / 3
LCM(66189,66198) = 4381579422 / 3
LCM(66189,66198) = 1460526474

Least Common Multiple (LCM) of 66189 and 66198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66189 and 66198. First we will calculate the prime factors of 66189 and 66198.

Prime Factorization of 66189

Prime Factorization of 66198

Now multiplying the highest exponent prime factors to calculate the LCM of 66189 and 66198.

LCM(66189,66198) = 3¹ × 22063¹ × 2¹ × 11¹ × 17¹ × 59¹
LCM(66189,66198) = 1460526474