GCF and LCM Calculator Logo

What is the Least Common Multiple of 18222 and 18227?

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 (LCM) of 18222 and 18227 is 332132394.

LCM(18222,18227) = 332132394

LCM Calculator and
and

Least Common Multiple of 18222 and 18227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18222 and 18227, than apply into the LCM equation.

GCF(18222,18227) = 1
LCM(18222,18227) = ( 18222 × 18227) / 1
LCM(18222,18227) = 332132394 / 1
LCM(18222,18227) = 332132394

Least Common Multiple (LCM) of 18222 and 18227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18222 and 18227. First we will calculate the prime factors of 18222 and 18227.

Prime Factorization of 18222

Prime factors of 18222 are 2, 3, 3037. Prime factorization of 18222 in exponential form is:

18222 = 21 × 31 × 30371

Prime Factorization of 18227

Prime factors of 18227 are 11, 1657. Prime factorization of 18227 in exponential form is:

18227 = 111 × 16571

Now multiplying the highest exponent prime factors to calculate the LCM of 18222 and 18227.

LCM(18222,18227) = 21 × 31 × 30371 × 111 × 16571
LCM(18222,18227) = 332132394