What is the Least Common Multiple of 85599 and 85606?

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 85599 and 85606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85599 and 85606, than apply into the LCM equation.

GCF(85599,85606) = 1
LCM(85599,85606) = ( 85599 × 85606) / 1
LCM(85599,85606) = 7327787994 / 1
LCM(85599,85606) = 7327787994

Least Common Multiple (LCM) of 85599 and 85606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85599 and 85606. First we will calculate the prime factors of 85599 and 85606.

Prime Factorization of 85599

Prime Factorization of 85606

Now multiplying the highest exponent prime factors to calculate the LCM of 85599 and 85606.

LCM(85599,85606) = 3² × 9511¹ × 2¹ × 23¹ × 1861¹
LCM(85599,85606) = 7327787994