What is the Least Common Multiple of 81801 and 81812?

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 81801 and 81812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81801 and 81812, than apply into the LCM equation.

GCF(81801,81812) = 1
LCM(81801,81812) = ( 81801 × 81812) / 1
LCM(81801,81812) = 6692303412 / 1
LCM(81801,81812) = 6692303412

Least Common Multiple (LCM) of 81801 and 81812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81801 and 81812. First we will calculate the prime factors of 81801 and 81812.

Prime Factorization of 81801

Prime Factorization of 81812

Now multiplying the highest exponent prime factors to calculate the LCM of 81801 and 81812.

LCM(81801,81812) = 3² × 61¹ × 149¹ × 2² × 113¹ × 181¹
LCM(81801,81812) = 6692303412