What is the Least Common Multiple of 85704 and 85719?

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 85704 and 85719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85704 and 85719, than apply into the LCM equation.

GCF(85704,85719) = 3
LCM(85704,85719) = ( 85704 × 85719) / 3
LCM(85704,85719) = 7346461176 / 3
LCM(85704,85719) = 2448820392

Least Common Multiple (LCM) of 85704 and 85719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85704 and 85719. First we will calculate the prime factors of 85704 and 85719.

Prime Factorization of 85704

Prime Factorization of 85719

Now multiplying the highest exponent prime factors to calculate the LCM of 85704 and 85719.

LCM(85704,85719) = 2³ × 3¹ × 3571¹ × 28573¹
LCM(85704,85719) = 2448820392