What is the Least Common Multiple of 48303 and 48322?

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 48303 and 48322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48303 and 48322, than apply into the LCM equation.

GCF(48303,48322) = 1
LCM(48303,48322) = ( 48303 × 48322) / 1
LCM(48303,48322) = 2334097566 / 1
LCM(48303,48322) = 2334097566

Least Common Multiple (LCM) of 48303 and 48322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48303 and 48322. First we will calculate the prime factors of 48303 and 48322.

Prime Factorization of 48303

Prime Factorization of 48322

Now multiplying the highest exponent prime factors to calculate the LCM of 48303 and 48322.

LCM(48303,48322) = 3³ × 1789¹ × 2¹ × 37¹ × 653¹
LCM(48303,48322) = 2334097566