What is the Least Common Multiple of 82166 and 82170?

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 82166 and 82170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82166 and 82170, than apply into the LCM equation.

GCF(82166,82170) = 2
LCM(82166,82170) = ( 82166 × 82170) / 2
LCM(82166,82170) = 6751580220 / 2
LCM(82166,82170) = 3375790110

Least Common Multiple (LCM) of 82166 and 82170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82166 and 82170. First we will calculate the prime factors of 82166 and 82170.

Prime Factorization of 82166

Prime Factorization of 82170

Now multiplying the highest exponent prime factors to calculate the LCM of 82166 and 82170.

LCM(82166,82170) = 2¹ × 7¹ × 5869¹ × 3² × 5¹ × 11¹ × 83¹
LCM(82166,82170) = 3375790110