What is the Least Common Multiple of 82801 and 82811?

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 82801 and 82811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82801 and 82811, than apply into the LCM equation.

GCF(82801,82811) = 1
LCM(82801,82811) = ( 82801 × 82811) / 1
LCM(82801,82811) = 6856833611 / 1
LCM(82801,82811) = 6856833611

Least Common Multiple (LCM) of 82801 and 82811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82801 and 82811. First we will calculate the prime factors of 82801 and 82811.

Prime Factorization of 82801

Prime Factorization of 82811

Now multiplying the highest exponent prime factors to calculate the LCM of 82801 and 82811.

LCM(82801,82811) = 31¹ × 2671¹ × 82811¹
LCM(82801,82811) = 6856833611