What is the Least Common Multiple of 75259 and 75268?

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 75259 and 75268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75259 and 75268, than apply into the LCM equation.

GCF(75259,75268) = 1
LCM(75259,75268) = ( 75259 × 75268) / 1
LCM(75259,75268) = 5664594412 / 1
LCM(75259,75268) = 5664594412

Least Common Multiple (LCM) of 75259 and 75268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75259 and 75268. First we will calculate the prime factors of 75259 and 75268.

Prime Factorization of 75259

Prime Factorization of 75268

Now multiplying the highest exponent prime factors to calculate the LCM of 75259 and 75268.

LCM(75259,75268) = 17¹ × 19¹ × 233¹ × 2² × 31¹ × 607¹
LCM(75259,75268) = 5664594412