What is the Least Common Multiple of 94704 and 94718?

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 94704 and 94718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94704 and 94718, than apply into the LCM equation.

GCF(94704,94718) = 2
LCM(94704,94718) = ( 94704 × 94718) / 2
LCM(94704,94718) = 8970173472 / 2
LCM(94704,94718) = 4485086736

Least Common Multiple (LCM) of 94704 and 94718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94704 and 94718. First we will calculate the prime factors of 94704 and 94718.

Prime Factorization of 94704

Prime Factorization of 94718

Now multiplying the highest exponent prime factors to calculate the LCM of 94704 and 94718.

LCM(94704,94718) = 2⁴ × 3¹ × 1973¹ × 13¹ × 3643¹
LCM(94704,94718) = 4485086736