What is the Least Common Multiple of 81342 and 81346?

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 81342 and 81346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81342 and 81346, than apply into the LCM equation.

GCF(81342,81346) = 2
LCM(81342,81346) = ( 81342 × 81346) / 2
LCM(81342,81346) = 6616846332 / 2
LCM(81342,81346) = 3308423166

Least Common Multiple (LCM) of 81342 and 81346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81342 and 81346. First we will calculate the prime factors of 81342 and 81346.

Prime Factorization of 81342

Prime Factorization of 81346

Now multiplying the highest exponent prime factors to calculate the LCM of 81342 and 81346.

LCM(81342,81346) = 2¹ × 3² × 4519¹ × 89¹ × 457¹
LCM(81342,81346) = 3308423166