What is the Least Common Multiple of 12315 and 12333?

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 12315 and 12333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12315 and 12333, than apply into the LCM equation.

GCF(12315,12333) = 3
LCM(12315,12333) = ( 12315 × 12333) / 3
LCM(12315,12333) = 151880895 / 3
LCM(12315,12333) = 50626965

Least Common Multiple (LCM) of 12315 and 12333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12315 and 12333. First we will calculate the prime factors of 12315 and 12333.

Prime Factorization of 12315

Prime Factorization of 12333

Now multiplying the highest exponent prime factors to calculate the LCM of 12315 and 12333.

LCM(12315,12333) = 3¹ × 5¹ × 821¹ × 4111¹
LCM(12315,12333) = 50626965