What is the Least Common Multiple of 94065 and 94083?

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 94065 and 94083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94065 and 94083, than apply into the LCM equation.

GCF(94065,94083) = 3
LCM(94065,94083) = ( 94065 × 94083) / 3
LCM(94065,94083) = 8849917395 / 3
LCM(94065,94083) = 2949972465

Least Common Multiple (LCM) of 94065 and 94083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94065 and 94083. First we will calculate the prime factors of 94065 and 94083.

Prime Factorization of 94065

Prime Factorization of 94083

Now multiplying the highest exponent prime factors to calculate the LCM of 94065 and 94083.

LCM(94065,94083) = 3¹ × 5¹ × 6271¹ × 11¹ × 2851¹
LCM(94065,94083) = 2949972465