What is the Least Common Multiple of 94704 and 94719?

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 94719 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 94719, than apply into the LCM equation.

GCF(94704,94719) = 3
LCM(94704,94719) = ( 94704 × 94719) / 3
LCM(94704,94719) = 8970268176 / 3
LCM(94704,94719) = 2990089392

Least Common Multiple (LCM) of 94704 and 94719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94704 and 94719. First we will calculate the prime factors of 94704 and 94719.

Prime Factorization of 94704

Prime Factorization of 94719

Now multiplying the highest exponent prime factors to calculate the LCM of 94704 and 94719.

LCM(94704,94719) = 2⁴ × 3¹ × 1973¹ × 31573¹
LCM(94704,94719) = 2990089392