What is the Least Common Multiple of 81728 and 81735?

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 81728 and 81735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81728 and 81735, than apply into the LCM equation.

GCF(81728,81735) = 1
LCM(81728,81735) = ( 81728 × 81735) / 1
LCM(81728,81735) = 6680038080 / 1
LCM(81728,81735) = 6680038080

Least Common Multiple (LCM) of 81728 and 81735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81728 and 81735. First we will calculate the prime factors of 81728 and 81735.

Prime Factorization of 81728

Prime Factorization of 81735

Now multiplying the highest exponent prime factors to calculate the LCM of 81728 and 81735.

LCM(81728,81735) = 2⁶ × 1277¹ × 3¹ × 5¹ × 5449¹
LCM(81728,81735) = 6680038080