What is the Least Common Multiple of 81282 and 81296?

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 81282 and 81296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81282 and 81296, than apply into the LCM equation.

GCF(81282,81296) = 2
LCM(81282,81296) = ( 81282 × 81296) / 2
LCM(81282,81296) = 6607901472 / 2
LCM(81282,81296) = 3303950736

Least Common Multiple (LCM) of 81282 and 81296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81282 and 81296. First we will calculate the prime factors of 81282 and 81296.

Prime Factorization of 81282

Prime Factorization of 81296

Now multiplying the highest exponent prime factors to calculate the LCM of 81282 and 81296.

LCM(81282,81296) = 2⁴ × 3¹ × 19¹ × 23¹ × 31¹ × 5081¹
LCM(81282,81296) = 3303950736