What is the Least Common Multiple of 81800 and 81817?

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 81800 and 81817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81800 and 81817, than apply into the LCM equation.

GCF(81800,81817) = 1
LCM(81800,81817) = ( 81800 × 81817) / 1
LCM(81800,81817) = 6692630600 / 1
LCM(81800,81817) = 6692630600

Least Common Multiple (LCM) of 81800 and 81817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81800 and 81817. First we will calculate the prime factors of 81800 and 81817.

Prime Factorization of 81800

Prime Factorization of 81817

Now multiplying the highest exponent prime factors to calculate the LCM of 81800 and 81817.

LCM(81800,81817) = 2³ × 5² × 409¹ × 81817¹
LCM(81800,81817) = 6692630600