What is the Least Common Multiple of 82812 and 82817?

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 82812 and 82817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82812 and 82817, than apply into the LCM equation.

GCF(82812,82817) = 1
LCM(82812,82817) = ( 82812 × 82817) / 1
LCM(82812,82817) = 6858241404 / 1
LCM(82812,82817) = 6858241404

Least Common Multiple (LCM) of 82812 and 82817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82812 and 82817. First we will calculate the prime factors of 82812 and 82817.

Prime Factorization of 82812

Prime Factorization of 82817

Now multiplying the highest exponent prime factors to calculate the LCM of 82812 and 82817.

LCM(82812,82817) = 2² × 3¹ × 67¹ × 103¹ × 7¹ × 11831¹
LCM(82812,82817) = 6858241404