What is the Least Common Multiple of 15385 and 15405?

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 15385 and 15405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15385 and 15405, than apply into the LCM equation.

GCF(15385,15405) = 5
LCM(15385,15405) = ( 15385 × 15405) / 5
LCM(15385,15405) = 237005925 / 5
LCM(15385,15405) = 47401185

Least Common Multiple (LCM) of 15385 and 15405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15385 and 15405. First we will calculate the prime factors of 15385 and 15405.

Prime Factorization of 15385

Prime Factorization of 15405

Now multiplying the highest exponent prime factors to calculate the LCM of 15385 and 15405.

LCM(15385,15405) = 5¹ × 17¹ × 181¹ × 3¹ × 13¹ × 79¹
LCM(15385,15405) = 47401185