What is the Least Common Multiple of 94245 and 94260?

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 94245 and 94260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94245 and 94260, than apply into the LCM equation.

GCF(94245,94260) = 15
LCM(94245,94260) = ( 94245 × 94260) / 15
LCM(94245,94260) = 8883533700 / 15
LCM(94245,94260) = 592235580

Least Common Multiple (LCM) of 94245 and 94260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94245 and 94260. First we will calculate the prime factors of 94245 and 94260.

Prime Factorization of 94245

Prime Factorization of 94260

Now multiplying the highest exponent prime factors to calculate the LCM of 94245 and 94260.

LCM(94245,94260) = 3¹ × 5¹ × 61¹ × 103¹ × 2² × 1571¹
LCM(94245,94260) = 592235580