What is the Least Common Multiple of 85752 and 85758?

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 85752 and 85758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85752 and 85758, than apply into the LCM equation.

GCF(85752,85758) = 6
LCM(85752,85758) = ( 85752 × 85758) / 6
LCM(85752,85758) = 7353920016 / 6
LCM(85752,85758) = 1225653336

Least Common Multiple (LCM) of 85752 and 85758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85752 and 85758. First we will calculate the prime factors of 85752 and 85758.

Prime Factorization of 85752

Prime Factorization of 85758

Now multiplying the highest exponent prime factors to calculate the LCM of 85752 and 85758.

LCM(85752,85758) = 2³ × 3³ × 397¹ × 14293¹
LCM(85752,85758) = 1225653336