What is the Least Common Multiple of 66375 and 66390?

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 66375 and 66390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66375 and 66390, than apply into the LCM equation.

GCF(66375,66390) = 15
LCM(66375,66390) = ( 66375 × 66390) / 15
LCM(66375,66390) = 4406636250 / 15
LCM(66375,66390) = 293775750

Least Common Multiple (LCM) of 66375 and 66390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66375 and 66390. First we will calculate the prime factors of 66375 and 66390.

Prime Factorization of 66375

Prime Factorization of 66390

Now multiplying the highest exponent prime factors to calculate the LCM of 66375 and 66390.

LCM(66375,66390) = 3² × 5³ × 59¹ × 2¹ × 2213¹
LCM(66375,66390) = 293775750