What is the Least Common Multiple of 94350 and 94366?

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 94350 and 94366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94350 and 94366, than apply into the LCM equation.

GCF(94350,94366) = 2
LCM(94350,94366) = ( 94350 × 94366) / 2
LCM(94350,94366) = 8903432100 / 2
LCM(94350,94366) = 4451716050

Least Common Multiple (LCM) of 94350 and 94366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94350 and 94366. First we will calculate the prime factors of 94350 and 94366.

Prime Factorization of 94350

Prime Factorization of 94366

Now multiplying the highest exponent prime factors to calculate the LCM of 94350 and 94366.

LCM(94350,94366) = 2¹ × 3¹ × 5² × 17¹ × 37¹ × 29¹ × 1627¹
LCM(94350,94366) = 4451716050