What is the Least Common Multiple of 82599 and 82610?

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 82599 and 82610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82599 and 82610, than apply into the LCM equation.

GCF(82599,82610) = 11
LCM(82599,82610) = ( 82599 × 82610) / 11
LCM(82599,82610) = 6823503390 / 11
LCM(82599,82610) = 620318490

Least Common Multiple (LCM) of 82599 and 82610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82599 and 82610. First we will calculate the prime factors of 82599 and 82610.

Prime Factorization of 82599

Prime Factorization of 82610

Now multiplying the highest exponent prime factors to calculate the LCM of 82599 and 82610.

LCM(82599,82610) = 3¹ × 11¹ × 2503¹ × 2¹ × 5¹ × 751¹
LCM(82599,82610) = 620318490