What is the Least Common Multiple of 75288 and 75303?

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 75288 and 75303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75288 and 75303, than apply into the LCM equation.

GCF(75288,75303) = 3
LCM(75288,75303) = ( 75288 × 75303) / 3
LCM(75288,75303) = 5669412264 / 3
LCM(75288,75303) = 1889804088

Least Common Multiple (LCM) of 75288 and 75303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75288 and 75303. First we will calculate the prime factors of 75288 and 75303.

Prime Factorization of 75288

Prime Factorization of 75303

Now multiplying the highest exponent prime factors to calculate the LCM of 75288 and 75303.

LCM(75288,75303) = 2³ × 3³ × 3137¹ × 2789¹
LCM(75288,75303) = 1889804088