What is the Least Common Multiple of 82803 and 82812?

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 82803 and 82812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82803 and 82812, than apply into the LCM equation.

GCF(82803,82812) = 3
LCM(82803,82812) = ( 82803 × 82812) / 3
LCM(82803,82812) = 6857082036 / 3
LCM(82803,82812) = 2285694012

Least Common Multiple (LCM) of 82803 and 82812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82803 and 82812. First we will calculate the prime factors of 82803 and 82812.

Prime Factorization of 82803

Prime Factorization of 82812

Now multiplying the highest exponent prime factors to calculate the LCM of 82803 and 82812.

LCM(82803,82812) = 3¹ × 7¹ × 3943¹ × 2² × 67¹ × 103¹
LCM(82803,82812) = 2285694012