What is the Least Common Multiple of 66180 and 66195?

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 66180 and 66195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66180 and 66195, than apply into the LCM equation.

GCF(66180,66195) = 15
LCM(66180,66195) = ( 66180 × 66195) / 15
LCM(66180,66195) = 4380785100 / 15
LCM(66180,66195) = 292052340

Least Common Multiple (LCM) of 66180 and 66195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66180 and 66195. First we will calculate the prime factors of 66180 and 66195.

Prime Factorization of 66180

Prime Factorization of 66195

Now multiplying the highest exponent prime factors to calculate the LCM of 66180 and 66195.

LCM(66180,66195) = 2² × 3² × 5¹ × 1103¹ × 1471¹
LCM(66180,66195) = 292052340