What is the Least Common Multiple of 81786 and 81806?

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 81786 and 81806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81786 and 81806, than apply into the LCM equation.

GCF(81786,81806) = 2
LCM(81786,81806) = ( 81786 × 81806) / 2
LCM(81786,81806) = 6690585516 / 2
LCM(81786,81806) = 3345292758

Least Common Multiple (LCM) of 81786 and 81806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81786 and 81806. First we will calculate the prime factors of 81786 and 81806.

Prime Factorization of 81786

Prime Factorization of 81806

Now multiplying the highest exponent prime factors to calculate the LCM of 81786 and 81806.

LCM(81786,81806) = 2¹ × 3¹ × 43¹ × 317¹ × 40903¹
LCM(81786,81806) = 3345292758