What is the Least Common Multiple of 75405 and 75423?

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 75405 and 75423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75405 and 75423, than apply into the LCM equation.

GCF(75405,75423) = 3
LCM(75405,75423) = ( 75405 × 75423) / 3
LCM(75405,75423) = 5687271315 / 3
LCM(75405,75423) = 1895757105

Least Common Multiple (LCM) of 75405 and 75423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75405 and 75423. First we will calculate the prime factors of 75405 and 75423.

Prime Factorization of 75405

Prime Factorization of 75423

Now multiplying the highest exponent prime factors to calculate the LCM of 75405 and 75423.

LCM(75405,75423) = 3¹ × 5¹ × 11¹ × 457¹ × 31¹ × 811¹
LCM(75405,75423) = 1895757105