What is the Least Common Multiple of 82306 and 82321?

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 82306 and 82321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82306 and 82321, than apply into the LCM equation.

GCF(82306,82321) = 1
LCM(82306,82321) = ( 82306 × 82321) / 1
LCM(82306,82321) = 6775512226 / 1
LCM(82306,82321) = 6775512226

Least Common Multiple (LCM) of 82306 and 82321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82306 and 82321. First we will calculate the prime factors of 82306 and 82321.

Prime Factorization of 82306

Prime Factorization of 82321

Now multiplying the highest exponent prime factors to calculate the LCM of 82306 and 82321.

LCM(82306,82321) = 2¹ × 7¹ × 5879¹ × 191¹ × 431¹
LCM(82306,82321) = 6775512226