What is the Least Common Multiple of 91704 and 91719?

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 91704 and 91719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91704 and 91719, than apply into the LCM equation.

GCF(91704,91719) = 3
LCM(91704,91719) = ( 91704 × 91719) / 3
LCM(91704,91719) = 8410999176 / 3
LCM(91704,91719) = 2803666392

Least Common Multiple (LCM) of 91704 and 91719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91704 and 91719. First we will calculate the prime factors of 91704 and 91719.

Prime Factorization of 91704

Prime Factorization of 91719

Now multiplying the highest exponent prime factors to calculate the LCM of 91704 and 91719.

LCM(91704,91719) = 2³ × 3³ × 3821¹ × 43¹ × 79¹
LCM(91704,91719) = 2803666392