What is the Least Common Multiple of 22209 and 22221?

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 22209 and 22221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22209 and 22221, than apply into the LCM equation.

GCF(22209,22221) = 3
LCM(22209,22221) = ( 22209 × 22221) / 3
LCM(22209,22221) = 493506189 / 3
LCM(22209,22221) = 164502063

Least Common Multiple (LCM) of 22209 and 22221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22209 and 22221. First we will calculate the prime factors of 22209 and 22221.

Prime Factorization of 22209

Prime Factorization of 22221

Now multiplying the highest exponent prime factors to calculate the LCM of 22209 and 22221.

LCM(22209,22221) = 3³ × 11¹ × 673¹ × 823¹
LCM(22209,22221) = 164502063