What is the Least Common Multiple of 85782 and 85797?

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 85782 and 85797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85782 and 85797, than apply into the LCM equation.

GCF(85782,85797) = 3
LCM(85782,85797) = ( 85782 × 85797) / 3
LCM(85782,85797) = 7359838254 / 3
LCM(85782,85797) = 2453279418

Least Common Multiple (LCM) of 85782 and 85797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85782 and 85797. First we will calculate the prime factors of 85782 and 85797.

Prime Factorization of 85782

Prime Factorization of 85797

Now multiplying the highest exponent prime factors to calculate the LCM of 85782 and 85797.

LCM(85782,85797) = 2¹ × 3² × 17¹ × 29² × 9533¹
LCM(85782,85797) = 2453279418