What is the Least Common Multiple of 75285 and 75294?

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 75285 and 75294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75285 and 75294, than apply into the LCM equation.

GCF(75285,75294) = 9
LCM(75285,75294) = ( 75285 × 75294) / 9
LCM(75285,75294) = 5668508790 / 9
LCM(75285,75294) = 629834310

Least Common Multiple (LCM) of 75285 and 75294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75285 and 75294. First we will calculate the prime factors of 75285 and 75294.

Prime Factorization of 75285

Prime Factorization of 75294

Now multiplying the highest exponent prime factors to calculate the LCM of 75285 and 75294.

LCM(75285,75294) = 3² × 5¹ × 7¹ × 239¹ × 2¹ × 47¹ × 89¹
LCM(75285,75294) = 629834310