What is the Least Common Multiple of 66214 and 66232?

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 66214 and 66232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66214 and 66232, than apply into the LCM equation.

GCF(66214,66232) = 2
LCM(66214,66232) = ( 66214 × 66232) / 2
LCM(66214,66232) = 4385485648 / 2
LCM(66214,66232) = 2192742824

Least Common Multiple (LCM) of 66214 and 66232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66214 and 66232. First we will calculate the prime factors of 66214 and 66232.

Prime Factorization of 66214

Prime Factorization of 66232

Now multiplying the highest exponent prime factors to calculate the LCM of 66214 and 66232.

LCM(66214,66232) = 2³ × 33107¹ × 17¹ × 487¹
LCM(66214,66232) = 2192742824