What is the Least Common Multiple of 15315 and 15325?

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 15315 and 15325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15315 and 15325, than apply into the LCM equation.

GCF(15315,15325) = 5
LCM(15315,15325) = ( 15315 × 15325) / 5
LCM(15315,15325) = 234702375 / 5
LCM(15315,15325) = 46940475

Least Common Multiple (LCM) of 15315 and 15325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15315 and 15325. First we will calculate the prime factors of 15315 and 15325.

Prime Factorization of 15315

Prime Factorization of 15325

Now multiplying the highest exponent prime factors to calculate the LCM of 15315 and 15325.

LCM(15315,15325) = 3¹ × 5² × 1021¹ × 613¹
LCM(15315,15325) = 46940475