What is the Least Common Multiple of 94539 and 94554?

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 94539 and 94554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94539 and 94554, than apply into the LCM equation.

GCF(94539,94554) = 3
LCM(94539,94554) = ( 94539 × 94554) / 3
LCM(94539,94554) = 8939040606 / 3
LCM(94539,94554) = 2979680202

Least Common Multiple (LCM) of 94539 and 94554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94539 and 94554. First we will calculate the prime factors of 94539 and 94554.

Prime Factorization of 94539

Prime Factorization of 94554

Now multiplying the highest exponent prime factors to calculate the LCM of 94539 and 94554.

LCM(94539,94554) = 3³ × 31513¹ × 2¹ × 17¹ × 103¹
LCM(94539,94554) = 2979680202