What is the Least Common Multiple of 81816 and 81832?

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 81832 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 81832, than apply into the LCM equation.

GCF(81816,81832) = 8
LCM(81816,81832) = ( 81816 × 81832) / 8
LCM(81816,81832) = 6695166912 / 8
LCM(81816,81832) = 836895864

Least Common Multiple (LCM) of 81816 and 81832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81816 and 81832. First we will calculate the prime factors of 81816 and 81832.

Prime Factorization of 81816

Prime Factorization of 81832

Now multiplying the highest exponent prime factors to calculate the LCM of 81816 and 81832.

LCM(81816,81832) = 2³ × 3¹ × 7¹ × 487¹ × 53¹ × 193¹
LCM(81816,81832) = 836895864