What is the Least Common Multiple of 75288 and 75306?

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 75306 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 75306, than apply into the LCM equation.

GCF(75288,75306) = 6
LCM(75288,75306) = ( 75288 × 75306) / 6
LCM(75288,75306) = 5669638128 / 6
LCM(75288,75306) = 944939688

Least Common Multiple (LCM) of 75288 and 75306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75288 and 75306. First we will calculate the prime factors of 75288 and 75306.

Prime Factorization of 75288

Prime Factorization of 75306

Now multiplying the highest exponent prime factors to calculate the LCM of 75288 and 75306.

LCM(75288,75306) = 2³ × 3¹ × 3137¹ × 7¹ × 11¹ × 163¹
LCM(75288,75306) = 944939688