What is the Least Common Multiple of 75385 and 75405?

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 75385 and 75405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75385 and 75405, than apply into the LCM equation.

GCF(75385,75405) = 5
LCM(75385,75405) = ( 75385 × 75405) / 5
LCM(75385,75405) = 5684405925 / 5
LCM(75385,75405) = 1136881185

Least Common Multiple (LCM) of 75385 and 75405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75385 and 75405. First we will calculate the prime factors of 75385 and 75405.

Prime Factorization of 75385

Prime Factorization of 75405

Now multiplying the highest exponent prime factors to calculate the LCM of 75385 and 75405.

LCM(75385,75405) = 5¹ × 15077¹ × 3¹ × 11¹ × 457¹
LCM(75385,75405) = 1136881185