What is the Least Common Multiple of 66175 and 66189?

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 66175 and 66189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66175 and 66189, than apply into the LCM equation.

GCF(66175,66189) = 1
LCM(66175,66189) = ( 66175 × 66189) / 1
LCM(66175,66189) = 4380057075 / 1
LCM(66175,66189) = 4380057075

Least Common Multiple (LCM) of 66175 and 66189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66175 and 66189. First we will calculate the prime factors of 66175 and 66189.

Prime Factorization of 66175

Prime Factorization of 66189

Now multiplying the highest exponent prime factors to calculate the LCM of 66175 and 66189.

LCM(66175,66189) = 5² × 2647¹ × 3¹ × 22063¹
LCM(66175,66189) = 4380057075