What is the Least Common Multiple of 18228 and 18238?

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 18228 and 18238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18228 and 18238, than apply into the LCM equation.

GCF(18228,18238) = 2
LCM(18228,18238) = ( 18228 × 18238) / 2
LCM(18228,18238) = 332442264 / 2
LCM(18228,18238) = 166221132

Least Common Multiple (LCM) of 18228 and 18238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18228 and 18238. First we will calculate the prime factors of 18228 and 18238.

Prime Factorization of 18228

Prime Factorization of 18238

Now multiplying the highest exponent prime factors to calculate the LCM of 18228 and 18238.

LCM(18228,18238) = 2² × 3¹ × 7² × 31¹ × 11¹ × 829¹
LCM(18228,18238) = 166221132