What is the Least Common Multiple of 94300 and 94314?

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 94300 and 94314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94300 and 94314, than apply into the LCM equation.

GCF(94300,94314) = 2
LCM(94300,94314) = ( 94300 × 94314) / 2
LCM(94300,94314) = 8893810200 / 2
LCM(94300,94314) = 4446905100

Least Common Multiple (LCM) of 94300 and 94314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94300 and 94314. First we will calculate the prime factors of 94300 and 94314.

Prime Factorization of 94300

Prime Factorization of 94314

Now multiplying the highest exponent prime factors to calculate the LCM of 94300 and 94314.

LCM(94300,94314) = 2² × 5² × 23¹ × 41¹ × 3¹ × 11¹ × 1429¹
LCM(94300,94314) = 4446905100