What is the Least Common Multiple of 22306 and 22322?

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 22306 and 22322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22306 and 22322, than apply into the LCM equation.

GCF(22306,22322) = 2
LCM(22306,22322) = ( 22306 × 22322) / 2
LCM(22306,22322) = 497914532 / 2
LCM(22306,22322) = 248957266

Least Common Multiple (LCM) of 22306 and 22322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22306 and 22322. First we will calculate the prime factors of 22306 and 22322.

Prime Factorization of 22306

Prime Factorization of 22322

Now multiplying the highest exponent prime factors to calculate the LCM of 22306 and 22322.

LCM(22306,22322) = 2¹ × 19¹ × 587¹ × 11161¹
LCM(22306,22322) = 248957266