What is the Least Common Multiple of 81346 and 81353?

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 81346 and 81353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81346 and 81353, than apply into the LCM equation.

GCF(81346,81353) = 1
LCM(81346,81353) = ( 81346 × 81353) / 1
LCM(81346,81353) = 6617741138 / 1
LCM(81346,81353) = 6617741138

Least Common Multiple (LCM) of 81346 and 81353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81346 and 81353. First we will calculate the prime factors of 81346 and 81353.

Prime Factorization of 81346

Prime Factorization of 81353

Now multiplying the highest exponent prime factors to calculate the LCM of 81346 and 81353.

LCM(81346,81353) = 2¹ × 89¹ × 457¹ × 81353¹
LCM(81346,81353) = 6617741138