What is the Least Common Multiple of 88212 and 88227?

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 88212 and 88227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88212 and 88227, than apply into the LCM equation.

GCF(88212,88227) = 3
LCM(88212,88227) = ( 88212 × 88227) / 3
LCM(88212,88227) = 7782680124 / 3
LCM(88212,88227) = 2594226708

Least Common Multiple (LCM) of 88212 and 88227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88212 and 88227. First we will calculate the prime factors of 88212 and 88227.

Prime Factorization of 88212

Prime Factorization of 88227

Now multiplying the highest exponent prime factors to calculate the LCM of 88212 and 88227.

LCM(88212,88227) = 2² × 3² × 7351¹ × 9803¹
LCM(88212,88227) = 2594226708