What is the Least Common Multiple of 22233 and 22239?

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 22233 and 22239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22233 and 22239, than apply into the LCM equation.

GCF(22233,22239) = 3
LCM(22233,22239) = ( 22233 × 22239) / 3
LCM(22233,22239) = 494439687 / 3
LCM(22233,22239) = 164813229

Least Common Multiple (LCM) of 22233 and 22239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22233 and 22239. First we will calculate the prime factors of 22233 and 22239.

Prime Factorization of 22233

Prime Factorization of 22239

Now multiplying the highest exponent prime factors to calculate the LCM of 22233 and 22239.

LCM(22233,22239) = 3² × 7411¹ × 7¹ × 353¹
LCM(22233,22239) = 164813229