What is the Least Common Multiple of 81816 and 81825?

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 81816 and 81825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81816 and 81825, than apply into the LCM equation.

GCF(81816,81825) = 3
LCM(81816,81825) = ( 81816 × 81825) / 3
LCM(81816,81825) = 6694594200 / 3
LCM(81816,81825) = 2231531400

Least Common Multiple (LCM) of 81816 and 81825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81816 and 81825. First we will calculate the prime factors of 81816 and 81825.

Prime Factorization of 81816

Prime Factorization of 81825

Now multiplying the highest exponent prime factors to calculate the LCM of 81816 and 81825.

LCM(81816,81825) = 2³ × 3¹ × 7¹ × 487¹ × 5² × 1091¹
LCM(81816,81825) = 2231531400