What is the Least Common Multiple of 81664 and 81682?

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 81664 and 81682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81664 and 81682, than apply into the LCM equation.

GCF(81664,81682) = 2
LCM(81664,81682) = ( 81664 × 81682) / 2
LCM(81664,81682) = 6670478848 / 2
LCM(81664,81682) = 3335239424

Least Common Multiple (LCM) of 81664 and 81682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81664 and 81682. First we will calculate the prime factors of 81664 and 81682.

Prime Factorization of 81664

Prime Factorization of 81682

Now multiplying the highest exponent prime factors to calculate the LCM of 81664 and 81682.

LCM(81664,81682) = 2⁸ × 11¹ × 29¹ × 40841¹
LCM(81664,81682) = 3335239424