What is the Least Common Multiple of 24306 and 24322?

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 24306 and 24322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24306 and 24322, than apply into the LCM equation.

GCF(24306,24322) = 2
LCM(24306,24322) = ( 24306 × 24322) / 2
LCM(24306,24322) = 591170532 / 2
LCM(24306,24322) = 295585266

Least Common Multiple (LCM) of 24306 and 24322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24306 and 24322. First we will calculate the prime factors of 24306 and 24322.

Prime Factorization of 24306

Prime Factorization of 24322

Now multiplying the highest exponent prime factors to calculate the LCM of 24306 and 24322.

LCM(24306,24322) = 2¹ × 3¹ × 4051¹ × 12161¹
LCM(24306,24322) = 295585266