What is the Least Common Multiple of 75423 and 75428?

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 75423 and 75428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75423 and 75428, than apply into the LCM equation.

GCF(75423,75428) = 1
LCM(75423,75428) = ( 75423 × 75428) / 1
LCM(75423,75428) = 5689006044 / 1
LCM(75423,75428) = 5689006044

Least Common Multiple (LCM) of 75423 and 75428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75423 and 75428. First we will calculate the prime factors of 75423 and 75428.

Prime Factorization of 75423

Prime Factorization of 75428

Now multiplying the highest exponent prime factors to calculate the LCM of 75423 and 75428.

LCM(75423,75428) = 3¹ × 31¹ × 811¹ × 2² × 109¹ × 173¹
LCM(75423,75428) = 5689006044