What is the Least Common Multiple of 81264 and 81282?

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 81264 and 81282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81264 and 81282, than apply into the LCM equation.

GCF(81264,81282) = 6
LCM(81264,81282) = ( 81264 × 81282) / 6
LCM(81264,81282) = 6605300448 / 6
LCM(81264,81282) = 1100883408

Least Common Multiple (LCM) of 81264 and 81282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81264 and 81282. First we will calculate the prime factors of 81264 and 81282.

Prime Factorization of 81264

Prime Factorization of 81282

Now multiplying the highest exponent prime factors to calculate the LCM of 81264 and 81282.

LCM(81264,81282) = 2⁴ × 3¹ × 1693¹ × 19¹ × 23¹ × 31¹
LCM(81264,81282) = 1100883408