What is the Least Common Multiple of 81810 and 81819?

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 81810 and 81819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81810 and 81819, than apply into the LCM equation.

GCF(81810,81819) = 9
LCM(81810,81819) = ( 81810 × 81819) / 9
LCM(81810,81819) = 6693612390 / 9
LCM(81810,81819) = 743734710

Least Common Multiple (LCM) of 81810 and 81819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81810 and 81819. First we will calculate the prime factors of 81810 and 81819.

Prime Factorization of 81810

Prime Factorization of 81819

Now multiplying the highest exponent prime factors to calculate the LCM of 81810 and 81819.

LCM(81810,81819) = 2¹ × 3⁴ × 5¹ × 101¹ × 9091¹
LCM(81810,81819) = 743734710