What is the Least Common Multiple of 81348 and 81366?

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 81348 and 81366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81348 and 81366, than apply into the LCM equation.

GCF(81348,81366) = 6
LCM(81348,81366) = ( 81348 × 81366) / 6
LCM(81348,81366) = 6618961368 / 6
LCM(81348,81366) = 1103160228

Least Common Multiple (LCM) of 81348 and 81366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81348 and 81366. First we will calculate the prime factors of 81348 and 81366.

Prime Factorization of 81348

Prime Factorization of 81366

Now multiplying the highest exponent prime factors to calculate the LCM of 81348 and 81366.

LCM(81348,81366) = 2² × 3¹ × 6779¹ × 71¹ × 191¹
LCM(81348,81366) = 1103160228