What is the Least Common Multiple of 94605 and 94623?

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 94605 and 94623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94605 and 94623, than apply into the LCM equation.

GCF(94605,94623) = 3
LCM(94605,94623) = ( 94605 × 94623) / 3
LCM(94605,94623) = 8951808915 / 3
LCM(94605,94623) = 2983936305

Least Common Multiple (LCM) of 94605 and 94623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94605 and 94623. First we will calculate the prime factors of 94605 and 94623.

Prime Factorization of 94605

Prime Factorization of 94623

Now multiplying the highest exponent prime factors to calculate the LCM of 94605 and 94623.

LCM(94605,94623) = 3¹ × 5¹ × 7¹ × 17¹ × 53¹ × 31541¹
LCM(94605,94623) = 2983936305