What is the Least Common Multiple of 12315 and 12335?

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 12335 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 12335, than apply into the LCM equation.

GCF(12315,12335) = 5
LCM(12315,12335) = ( 12315 × 12335) / 5
LCM(12315,12335) = 151905525 / 5
LCM(12315,12335) = 30381105

Least Common Multiple (LCM) of 12315 and 12335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12315 and 12335. First we will calculate the prime factors of 12315 and 12335.

Prime Factorization of 12315

Prime Factorization of 12335

Now multiplying the highest exponent prime factors to calculate the LCM of 12315 and 12335.

LCM(12315,12335) = 3¹ × 5¹ × 821¹ × 2467¹
LCM(12315,12335) = 30381105