What is the Least Common Multiple of 18214 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 of 18214 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 18214 and 18227, than apply into the LCM equation.

GCF(18214,18227) = 1
LCM(18214,18227) = ( 18214 × 18227) / 1
LCM(18214,18227) = 331986578 / 1
LCM(18214,18227) = 331986578

Least Common Multiple (LCM) of 18214 and 18227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18214 and 18227. First we will calculate the prime factors of 18214 and 18227.

Prime Factorization of 18214

Prime Factorization of 18227

Now multiplying the highest exponent prime factors to calculate the LCM of 18214 and 18227.

LCM(18214,18227) = 2¹ × 7¹ × 1301¹ × 11¹ × 1657¹
LCM(18214,18227) = 331986578