What is the Least Common Multiple of 66135 and 66150?

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 66135 and 66150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66135 and 66150, than apply into the LCM equation.

GCF(66135,66150) = 15
LCM(66135,66150) = ( 66135 × 66150) / 15
LCM(66135,66150) = 4374830250 / 15
LCM(66135,66150) = 291655350

Least Common Multiple (LCM) of 66135 and 66150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66135 and 66150. First we will calculate the prime factors of 66135 and 66150.

Prime Factorization of 66135

Prime Factorization of 66150

Now multiplying the highest exponent prime factors to calculate the LCM of 66135 and 66150.

LCM(66135,66150) = 3³ × 5² × 4409¹ × 2¹ × 7²
LCM(66135,66150) = 291655350