What is the Least Common Multiple of 66189 and 66207?

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 66207 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 66207, than apply into the LCM equation.

GCF(66189,66207) = 3
LCM(66189,66207) = ( 66189 × 66207) / 3
LCM(66189,66207) = 4382175123 / 3
LCM(66189,66207) = 1460725041

Least Common Multiple (LCM) of 66189 and 66207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66189 and 66207. First we will calculate the prime factors of 66189 and 66207.

Prime Factorization of 66189

Prime Factorization of 66207

Now multiplying the highest exponent prime factors to calculate the LCM of 66189 and 66207.

LCM(66189,66207) = 3¹ × 22063¹ × 29¹ × 761¹
LCM(66189,66207) = 1460725041