What is the Least Common Multiple of 66174 and 66180?

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 66174 and 66180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66174 and 66180, than apply into the LCM equation.

GCF(66174,66180) = 6
LCM(66174,66180) = ( 66174 × 66180) / 6
LCM(66174,66180) = 4379395320 / 6
LCM(66174,66180) = 729899220

Least Common Multiple (LCM) of 66174 and 66180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66174 and 66180. First we will calculate the prime factors of 66174 and 66180.

Prime Factorization of 66174

Prime Factorization of 66180

Now multiplying the highest exponent prime factors to calculate the LCM of 66174 and 66180.

LCM(66174,66180) = 2² × 3¹ × 41¹ × 269¹ × 5¹ × 1103¹
LCM(66174,66180) = 729899220