What is the Least Common Multiple of 81836 and 81856?

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 81836 and 81856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81836 and 81856, than apply into the LCM equation.

GCF(81836,81856) = 4
LCM(81836,81856) = ( 81836 × 81856) / 4
LCM(81836,81856) = 6698767616 / 4
LCM(81836,81856) = 1674691904

Least Common Multiple (LCM) of 81836 and 81856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81836 and 81856. First we will calculate the prime factors of 81836 and 81856.

Prime Factorization of 81836

Prime Factorization of 81856

Now multiplying the highest exponent prime factors to calculate the LCM of 81836 and 81856.

LCM(81836,81856) = 2⁶ × 41¹ × 499¹ × 1279¹
LCM(81836,81856) = 1674691904