What is the Least Common Multiple of 75396 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 75396 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 75396 and 75405, than apply into the LCM equation.

GCF(75396,75405) = 3
LCM(75396,75405) = ( 75396 × 75405) / 3
LCM(75396,75405) = 5685235380 / 3
LCM(75396,75405) = 1895078460

Least Common Multiple (LCM) of 75396 and 75405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75396 and 75405. First we will calculate the prime factors of 75396 and 75405.

Prime Factorization of 75396

Prime Factorization of 75405

Now multiplying the highest exponent prime factors to calculate the LCM of 75396 and 75405.

LCM(75396,75405) = 2² × 3¹ × 61¹ × 103¹ × 5¹ × 11¹ × 457¹
LCM(75396,75405) = 1895078460