What is the Least Common Multiple of 81804 and 81824?

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 81804 and 81824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81804 and 81824, than apply into the LCM equation.

GCF(81804,81824) = 4
LCM(81804,81824) = ( 81804 × 81824) / 4
LCM(81804,81824) = 6693530496 / 4
LCM(81804,81824) = 1673382624

Least Common Multiple (LCM) of 81804 and 81824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81804 and 81824. First we will calculate the prime factors of 81804 and 81824.

Prime Factorization of 81804

Prime Factorization of 81824

Now multiplying the highest exponent prime factors to calculate the LCM of 81804 and 81824.

LCM(81804,81824) = 2⁵ × 3¹ × 17¹ × 401¹ × 2557¹
LCM(81804,81824) = 1673382624