What is the Least Common Multiple of 22305 and 22311?

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 22305 and 22311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22305 and 22311, than apply into the LCM equation.

GCF(22305,22311) = 3
LCM(22305,22311) = ( 22305 × 22311) / 3
LCM(22305,22311) = 497646855 / 3
LCM(22305,22311) = 165882285

Least Common Multiple (LCM) of 22305 and 22311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22305 and 22311. First we will calculate the prime factors of 22305 and 22311.

Prime Factorization of 22305

Prime Factorization of 22311

Now multiplying the highest exponent prime factors to calculate the LCM of 22305 and 22311.

LCM(22305,22311) = 3² × 5¹ × 1487¹ × 37¹ × 67¹
LCM(22305,22311) = 165882285