What is the Least Common Multiple of 22230 and 22238?

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 22230 and 22238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22230 and 22238, than apply into the LCM equation.

GCF(22230,22238) = 2
LCM(22230,22238) = ( 22230 × 22238) / 2
LCM(22230,22238) = 494350740 / 2
LCM(22230,22238) = 247175370

Least Common Multiple (LCM) of 22230 and 22238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22230 and 22238. First we will calculate the prime factors of 22230 and 22238.

Prime Factorization of 22230

Prime Factorization of 22238

Now multiplying the highest exponent prime factors to calculate the LCM of 22230 and 22238.

LCM(22230,22238) = 2¹ × 3² × 5¹ × 13¹ × 19¹ × 11119¹
LCM(22230,22238) = 247175370